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Syllabus

if(-4,3)and(4,3)are two vertices of an equilateral triangle. find the coordinates of the third vertex. given that the origin lies in the interior of the triangle.

How to prove three points collinear by Section Formula

in what ratio does the pooint (-4,6) devides the line segment joining the point A(-6,10) and B(-7,4)

Q1=Two opposite vertices of a square are (-1,2)and (3,2).Find the coordinates of other two vertices.Q2=If two opposite vertices of a square of a square are (5,4)and (1,-6) ,find the coordinates of its remaining two vertices.Find the coordinates of a point whose distance from (3,5) is 5 units and that from (0,1) is 10 units..

THE VERTICES OF TRIANGLE ABC ARE A(4,6) , B(1,5) , C(7,2). A LINE IS DRAWN TO INTERSECT SIDES AB AND AC AT D AND E RESPECTIVELY SUCH THAT AD/AB=AE/AC=1/4. CALCULATE THE AREA OF TRIANGLE ADE AND COMPARE IT WITH AREA OF TRANGLE ABC.

if p(x,y ) is any point on the line segment joining the points A(a , 0) and B(0,b) then show that x/a + y/b = 1

xam idea model paper - 1 (unsolved-1)

Determine the ratio in which the line 2x+y-4=0 divides the line segment joining point A(2,-2) & B(3,7)?

1. How many cubes will have one face painted only in Blue?

(a) 1 (b) 2 (c) 3 (d) 4 (e) 5

2. How many cubes will have one face painted only in Green?

(a) 1 (b) 2 (c) 3 (d) 4 (5)

3. How many cubes are formed in all?

(a) 16 (b) 24 (c) 27 (d) 32 (e) 48

Find the centre of a circle passing through the points (6,-6), (3,7) and (3,3).

Find the value of 'p' for which the points (-1,3) , (2,p) and (5,-1) are collinear.

Find the ratio in which the line 3x + y - 9 = 0 divides the line segment joining the points A(1,3) and B(2,7)

the mid points of the sides of a triangle are (3,4) , (4,1) , (2,0).find the coordinates of the vertices of the triangle.

IF P and Q are two points whose coordinates are ( at

^{2,},2at) and ( a/t^{2}, - 2a/t) respectively and S is the point ( a,0).. Show that 1/SP + 1/SQ is independent of tIn what ratio the line segment joining the points (-2,-3) and (3,7) is divided by the y – axis ? Also, find the co – ordinates of the point of division

let the opposite angular points of a square ABCD be A(3,4) C(1,-1).find C and D

Find the ratio in which the y-axis divides the line segment joining the points (-4, -6) and (10, 12). Also, find the coordinates of the point of division.

find the coordinates of the point equidistant from three given points A (5 , 1 ) , B (-3,-7 ) and C( 7, -1).

If the points A (1,-2) B (2,3)C (-3,2) D (-4,-3) are the vretices of parallelogram ABCD, then taking AB as the base find the height of the parallelogram

find the coordinates of the point equidistant from three given points A(5,3),B(5,-5),C (1,-5)

If G be the centroid of a triangle ABC, prove that, AB

^{2}+BC^{2}+CA^{2}=3(GA^{2}+GB^{2}+GC^{2})If A(1,2) , B(4,3 ) and C( 6,6) are the three vertices of a parallelogram ABCD , find the coordinates of the fourth vertex D

Find a relation between x and y such that the point P(x,y) is equidistant from the points A(7,1) and B(3,5) .prove that the points (0,0), (5,5), (-5,5) are the vertices of a right angled triangle.

The age of the father is twice the sum of the ages of his two children.After,20 years , his age will be equal to the sum of the ages of his children.Find the age of the father

a). m > 1/5 and m<-1/6

b). -1/6< m < 1/5

c). m>1/5

d). None of these

Q1) Prove that the points (a,0),(b,0), and (1,1) are collinear if 1/a + 1/b =1

Q2) Prove that the points (a,b), (c,d), and ( a-c,b-a) are collinear if ad=bc.

Q3) three consecutive vertices of a parallelogram ABCD are A (1,2) B (1,0) and C (4,0).Find the fourth vertex.

Four points A(6,3) , B(-3,5) , C(4,-2) , and D(x,3x) are given in such a way that

area of triangle DBC/area of triangle ABC =1/2. Find x

in what ratio does the x-axis divide the segment joining the points (-4,-6) and (-1,7), also find the coordinates of point of division

The ordinate of a point is twice its abscissa. Find the coordinates of the point, if its distance from the point (4,3) is root 10 units.

find the circumcentre of the triangle whose vertices are (-2,-3), (-1,0), (7,-6)

A(6,1), B(8,2), C(9,4) are three vertices of a parallelogram ACBD. If E is midpoint of DC, find the area of ∆ADE.

In a triangle ABC, the coordinates of a point A,B,C are(3,2),(6,4) and (9,3) respectively. Find the coordinates of centroid G. Also find the areas of triangle ABG and triangle ACD

Find the point on Y-axis which is equidistant from the points (5,-2) and (-3,2)?

1. name the type of triangle pqr formed by the points p(√2,√2) , q(-√2,-√2) and r(-√6,√6)

2. abcd is a parallelogram with vertices a(x1,y1) b(

x2,y2) and c(x3,y3). find the coordinated of the fourth vertex d in terms of x1,x2,x3,y1,y2,y3

we were assigned 30 sums as homework.. i dint know how to solve these two out of them. please help me out....

The base BC of an equilateral triangle ABC lies on y axis. The coordinates of pt. C are (0,-3). If the origin is the mid pt. of the base BC, find the coordinates of the pt. A and B and hance find the area of the triangle.

Find the area of the quadrilateral whose vertices taken in order are (-4, -2), (-3, -5 ), (3, -2), and (2,3)........

If the midpoints of sides of the triangle PQR are (1,2) (0,1) (1,0), then find the cordinates of thevertices of the triangle.

find the ratio in which the line 2x + 3y - 5 = 0 divideds the line segment joining the points (8,-9) and (2,1) . also find the coordinates of the point of division.

the line segment joining the points A ( 2 , 1 ) B ( 5 , -8 ) is trisected at the points p and q such that P is nearer to A . if P also lies on the line given by 2 x - y + k =0 , find the value of k.

If R( x , y ) is a point on the line segment joining the points P( a , b ) and Q( b , a ) , then prove that x+y =a+b

FIND THE RATIO IN WHICH THE Y- AXIS DIVIDES THE LINE SEGMENT JOINING THE POINTS ( 5 , -6 ) AND ( -1 , -4 ) .

for such a question i know that the ratio is taken as k : 1 . But what ratio should be taken if it is asked for x - axis ?

Is it the same ?

Q.5. If the distance between the points (4, k) and (1, 0) is 5 units, then what can be the possible values of k?

(i) the length of the arc (ii) area of the sector formed by the arc

(iii)area of the line segment formed by the corresponding chord.

the distance of point 4,5 from the x axis

find the ratio in which point P(-1,y) lying on the line segment joining points A(-3,10) and B(6,-8) divides it. also find the value of y.

in Kishangarh have been allotted a rectangular plot of

land for this gardening activity as shown in figure [2]

Sapling of Neem tree are planted on the boundary at a

distance of 1 m from each other. There is a triangular

grassy lawn in the plot as shown in above figure.

The students are to sow seeds of flowering plants on

the remaining area of the plot.

Then, taking A a origin, find the area of the triangle

in this case.

IS MY ANS CORRECT FOR THIS?

Find the area of the Quadrilateral ABCD whose vertices are A ( -3 , -1) , B (-2, -4) , C ( 4, -1) andD (3,4) . ..Find the coordinates of the circumcentre of the triangle with vertices (-2,3), (-1,0) & (7,-6).

Find the point on x-axis which is equidistant from the points (2,-5) and (-2,9)

Please and Thanks!

if the points A(4,3) and B(x,5) are on the circle with centre O(2,3), find the value of x.

Find the distance of the point P(-3,4) from the x axis.

the distance between 2x+4=0 and x-5=0 is ?

Find a point on y axis which is equidistant from the pts. A(6,5) and B(-4,3).

Point P divides the line segment joining the points A(-1,3), B(9,8) such that AP/PB=k/1. I fP lies on the line x-y+2=0, find the value of k.

1- the perpendicular bisector of line segment joining the points a(1,5) b(4,6) cuts y axis at which point

2-if the point p (2,1)lies on the line segment joining points a(4,2 ) and b (8,4) then

a- ap=1/3ab , b- ap=pb, c- pb=1/3ab d- ap=1/2 ab choose the correct option

i m getting the relation ab=4 ab am i right or wrong plz specify this

3- show that a (-3,-1), b- (-4,-1), c(3,3) , d (4,3) r the vertices of rhombus i m not getting rhombus

Find the area of the triangle whose vertices are (1,-4), (3,-2) and (-3,16)

IN WHAT RATIO DOES THE LINE x-y-2=0 divide the line segment joining (3,-1) and (8,9) ?

Find the coordinates of the cicumcentre of the triangle whose vertices are (8,6), (8,-2) and (2,-2). Also find its circumradius.(plz explain step wise)Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are (0, − 1), (2, 1) and (0, 3). Find the ratio of this area to the area of the given triangle.

The coordinate of two points A and B are (3,4) and (5,-2) respectively. Find the coordinate of point P if PA=PB. The area of triangle APB=10.

Find the value of k if the points A(k+1, 2k), B(3k, 2k+3)and C (5k – 1, 5k) are collinear.

Find the value of k if P(4,-2 ) is the mid point of hte line segment joining the points A(5k, 3) and B(-k,- 7)

If two opposite vertices of a square are (5,4) and (1,-6), find the co ordinates of its remaining two vertices.

the distance of the points p (2,3) from the x axis is

points A(-2, 0) and B(6. 0).