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Syllabus

If the point P(x,y) is equidistant from the points A(a-b, a+b) and B(a+b, b-a) then prove bx=ay.

I am a paid user of meritnation.Q.1=DRAW THE GRAPH OF x+y+1=0 and 3x +2y-12=0.Determine the coordinates of the vertices of the triangle formed by these lines and x axis .Calculate the area bounded by these lines and x axis.how to solve (a-b)x + (a+b)y = (a

^{2}-2ab-b^{2}) , (a+b) (x+y)=a^{2}+b^{2}. by cross multiplication methoda plane left 30 minutes later than the scheduled time and inorder to reach the desination, 1500km away in time. It has to increase the speed by 250km/h from the usual seed. Find the usual speed?

solve for x and y

x / a + y / b = 2 ; ax - by = a

^{2}- b^{2}check graphically whether the pair of equations 3x - 2y + 2 = 0 , 3/2x - y + 3 = 0 is consistent. Also find the co-ordinatesof the point , where the graph of the equations meet the y axis

A boat goes 30 Km upstream and 44 KM downstream in 10 hours.In 13 hours, it can go 40 KM upstream and 55 KM down- stream. Determine the speed and that pf the boat in still water....????

kindly explain this question....

Two lines are given to be parallel. The equation of one of the lines is 4x + 3y = 14. Find the equation of the second line.

2 women and 5 men can together finish an embroidery work in 4 days, while 3 women and 6 men can finish in 3 days. find the time taken by 1 woman alone to finish the work, and also that taken by 1 man alone

2) parallel lines

A man travels 600km partly by train and partly by car. If he covers 400km by train and the rest by car, it takes him 6 hours and 30 minutes. But if he travels 200 km by train and rest by car, he takes half an hour longer. Fine the speed of the train and that of the car

Students of a class are made to stand in rows. If one student is extra in a row, there would be 2 rows

Solve the following pair of equations

2/root x + 3/root y =2 and 4/root x - 9/root y = -1

srisaji@yahoo.com

Points A and B are 90 km apart from each other on a highway. A car starts from A and another from B at the same time. If they go in the same direction they meet in 9 hours and if they go in opposite directions they meet in 9/7 hours. Find their sppeds.a) 2x+3y-13=0b) 2x-3y+13=0c) 3x+2y-31=0d) 2x+3y+13=0

Places A and B are 100 km apart on a highway. One car starts from A and another

for what value of K will the following pair of linear equation have no solution

3x+y=1

(2k-1)x+(k-1)y=2k+1

The area of the triangle formed by the lines x =3,y = 4 and x = y is:

1) 1/2 sq. unit 2) 1 sq. unit 3)2 sq. units 4) none of these

answer:- option 1).

A train covered a certain distance at a uniform speed. If the train would have been 10 km/h faster, it would have taken 2 hours less than the scheduled time. And if the train were slower by 10 km/h; it would have taken 3 hours more than the scheduled time. Find the distance covered by the train.

The pair of equations ax + 2y = 7 and 3x + by = 16 represent parallel lines if

a. a=b b. 3a = 2b c. 2a = 3b d. ab = 6

A train covered a certain distance at a uniform speed. If the train would have been 6km/hr. faster, it would have taken 4 hours less than the scheduled time. And if the train were slower by 6km/hr. it would have taken 6 hours more than the scheduled time. Find the length of the journey.

Shade the region bounded by the lines and x-axis. Also, find the area of shaded region.

A sailor goes 8 km downstream in 40 minutes and returns in 1 hour.Determine the speed of the sailor in still water and the speed of the current?

3. When lines l1 and l2 are parallel, then the graphical solution system of linear equation have

(a) infinite number of solutions (b) unique solution

(c) no solution (d) one solution

A two digit number is obtained by either multiplying the sum of the digits by 8 and then subtracting by 5 or by multiplying the difference of the digits by 16 and then adding 3. Find the number.

Solve graphically :3x+y-5=0 , 2x-y-5=0. Also find the coordinates of the points where the lines meet axis of y .

1/2(2x+3y)+12/7(3x-2y)=1/2 & 7/2x+3y +4/3x-2y=2.sove the following equations

seven times a two digit number is equal to four times the number obtained by reversing the order of its digits if the difference between the digits is 3 , find the number

Q31. Ramu had 13 notes in the denominations of Rs. 10, Rs. 50 and Rs. 100. The total value of the notes with him was Rs. 830. He had more of Rs. 100 notes than that of Rs.50 notes him. Find the number of Rs. 10 notes with him .

(a) 4 (b) 3

(c) 2 (d) 5

If students of a class are made to stand in rows,if 3 students are extra in a row ,there would be 1 row less .if 3 student are less in a row there would be 2 rows more .find the number of students in the class .please form the equation and solve it with proper explaination.

Half the perimeter of a rectangular garden, whose length is 4m more than its width,is 36m. Find the dimensions of the garden.

the sum of the numerator and denominator of a fraction is 3 less than twice the denominator. if the numerator and denominator are decreased by 1,the numerator becomes half the denomiator.find the fraction.

Check if the pair of linear equations 3x + 6 = 10y and 12x - 15y + 3 = 0 is consistent or not.

8 men and 12 boys can finish a piece of work in 10 days while 6 men and boys can finish it in 14 days find the time taken by one man alone and that by one boy alone to finish the work

The area of a rectangle gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and the breadth by 2 units, the area increases by 67 square units. Find the dimensions of the rectangle.

Can you do this question by Elimination Method??

^{2}+b^{2}not equal to zero.Why we do not write a not equal to 0 and b not equal zero.A person, rowing at the rate of 5 km/hr in still water, takes thrice as much time in going 40 km upstream as in going downstream. Find the speed of the stream.

Pls tell how to solve this

A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30km upstream and 21km downtream in 6.5 hours. Find the speed of the boat in the still water and the speed of stream.

4 men and 6 boys can finish a piece of work in 5 days while 3 men and 4 boys can finish it in

On selling a tea-set at 5% loss and a lemon-set at 15% gain, a crockery seller gains Rs. 7. If he sells

The pair of linear equations 2x +3y = 5 and 4x + 6y = 10 is

a. inconsistent b. consistent c. dependent consistent d. none of these

It takes 12 hours to fill a swimming pool using 2 pipes. If a pipe of larger diameter is used for 4 hours and the pipe of smaller diameter for 9 hours, only half the pool can be filled. How long it would take for each pipe to fill the pool separately? Give answer ASAP

given the linear equation 3x+4y-5=0,write another equation in 2 variable such that the geometrical representation of the pair so formed is 1) intersecting lines 2) parallel lines 3) coincident lines

Solve

mx-ny=m

^{2}+ n^{2 }; x+y = 2mx takes 3 hours more than y to walk 30 km. but if x doubles his pace, he is ahead of y by one and a half hours. find their speeds of walking.

^{2}+ y^{2}= 25 is:a) 1

b) 2

c) 3

d) 0

A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs 27 for a book kept for seven days, while Susy paid Rs 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.

2x+y=6

2x-y+2=0

find the ratio of the areas of the 2 triangles formed by the lines representing these equations with the x-axis and the lines with y-axis

A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km downstream.Ddetermine the speed of the stream and that of boat in water.

Solve

631x + 279y = 910

279x + 631y = 910

Solve by cross -multiplication method : x+y = a+b, ax-by = a

^{2}-b^{2}7710=1

0349=2

3009=3

3296=2

8371=x

Find X

solve by elimination method :

2power x + 3 power y=17

2 power (x+2) + 3 power (y+1)=5

The sum of the digits of a two digit number is 12. The number obtained by interchanging the two digits exceeds the given number by 18. FInd the number.

how do i find it ??

. Solve for x and y : 23x + 35y = 209 35x + 23y = 197

'A' takes 3 hours more than 'B' to walk a distance of 30km. But, if 'A' doubles his pace he is ahead of 'B' by 1.5 hrs. Find the speed of 'A' and 'B'?

the pair of linear equation x=y and x+y=0 has

tick the correct answer

a.no common solution

b.infinitely many solutions

c. unique solution

d. none

solve the following simultaneous equations:

(i) 3/rootx+4/rooty=17/6 ; 5/rootx-6/rooty=1/2

(ii) 2(3x-y)=5xy ; 2(x=3y)=5xy (x is not equal to 0,y is not equal to 0)

x+y=5 ; x-y=5

and find the solution from the graph.also shade triangle formed on y-axis

Solve (a-b)x + (a+b)y = asquare - 2ab - b square and (a+b)(x+y) = a square +b square.

i) xiand f

_{i}are sufficiently smallii) x

_{i}and f_{i}are numerically largeNO LINKS

after covering a distance of 30 km with a uniform speed there is some defect in a train engine and therefore; its speed is reduced to 45 of its orignal speed.consequently, the train reaches is destination late by 45 minutes.Had it happened after covering 18 kilometers more, the train would have reached 9 minutes earlier.Find the speed of the train and the distance of the journey. HURRRRY HURRRY GIVE THE ANSWER

1) x= n² + m² / am - bn , y= m² - n² / bm - an

2) x = m² - n² / am - bn , y = n² - m² / bm - an

3) x= m² - n² / am - bn , y = m² - n² / bm - an

4) x= n² - m² / am - bn , y = n²- m² / bm - an

For what values of a and b does the following pair of linear equations has a infinite number of solutions: 2x+3y=7; a(x+y)-b(x-y)=3a+b-2.

a boat covers 32km upstream and 36km downstream in 7hours. also it covers 40km upstream and 48km downstream in 9hours. find the speed of the boat in still water and that of stream?

if ad is not equal to bc then the pair of linear equations ax+by=p and cx+dy=q has how many solutions

A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 20 days she has to pay Rs. 1000 as hostel charges whereas a student B,who takes food for 26 days,pays Rs. 1180 as hostel charges. Find the fixed charges and the cost of food per day.

b/a x + a/b y = a

^{2 }+ b^{2}, x+y =2ab solve for x and yThe pair of equations x=a and y=b graphically represents lines which are:

a) Parallel

b) Intersecting at (b,a)

c) Coincident

d) Intersecting at (a,b)

Please answer and explain.

RD Sharma solution

A man walks a certain distance with certain speed. If he walks 1/2 km an hour faster, he takes 1 hour

How many solutions does the pair of equations x + 2y = 3 and 1/2x +y -3/2 = 0 have?

srisaji@yahoo.com

A wizard having the powers of mystic in candations and magical medicines seeing a cock fight going on, spoke privately to both the owners of the cocks. To one he said; if ur bird wins then you give me your stake money but if you don't win i shall give you two third of that.Going to the other he promised in the same way to give 3/4th . from both of them his gain could only be 12 gold coins. find the stake of money of each of the cock-owners have.

49x+51y=499

51x-49y=501

Two numbers are in the ratio 5:6. If 8 is subtracted from each of the numbers, theratio becomes 4:5. Find the numbers.

Given the pair of equations ax + (a - 1) y = 1 and (a + 1) x - ay = 1, for which one of the following values of a is there no common solution of the given pair of equations?

a + - root 2 b. +- 1 / root 2 c. + - 2 d. 1 + - 1 / 2

the sum of numerator and denominator of fraction is 4 more than twice the numerator.

if the numerator and denominator are increase by 3 they are in the ratio 2:3.find the fraction

67x + 112y = -89

112x + 67y = -269

Ritu can row downstream 20 km in 2 hours and upstream 4 km in 2 hours. Find her speed of rowing in still water and the speed of the current.

solve ax/-by/a=a+b,ax-by=2ab

How many solutions does the pair of equations y=0 and y = -x has? explain