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Syllabus

Find the coordinates of foot of perpendicular from the point (2,3) to the line 3x+4y+8=0.

Q.17 of miscellaneous ex. of N cert book chapter 10 st. line

2) In the given figure (circle), PT = 5, PD = 7 and PA = 2, then the value of PB - PC = ?

The base of the equilateral triangle has an equation of x+2y=3 and one of the vertex is (1,1).find the equation of other two sides

the equation of the perpendicular bisectors of sides AB and AC of a triangle ABC are x-y+5=0 and x+2y=0respectively. if the point is A (1,-2), find the equation of line BC.

45.Derive a formula for the perpendicular distance of a point (x_{1}, y_{1}) from the line Ax + By + C = 0.Two adjacent sides of a parallelogram are 4x + 5y = 0 and 7x + 2y = 0.

If the equation of one of the diagonals is 11x + 7y = 4, find the equation

of the other diagonal.

Using the concept of slope,prove that medians of an equilateral triangle are perpendicular to the corresponding sides.

A line is such that it's segment between the lines 5x-y+4=0 and 3x+4y-4=0 is bisected at the point (1,5) obtain it's equation?

(i) 2x+3y-4=0 and 2x+3y+17=0

sir, can u explain me how to find tan inverse in log books..

find the equation of the line through the intersection of the lines x+2y-3=0 and 4x -y+7=0 and which is parallel to 5x +4y -20=0.

find the coordinates of the incentre and centroid of the triangle whose sides have the equation 3x -4y=0, 12y+5x=0, y-15=0.

also please tell me what is incentre, circumcentre, orthocentre and centroid in a triangle

(A) ${x}^{2}+{y}^{2}-5x+7y=0$ (B) ${x}^{2}+{y}^{2}+5x-7y=0$

(B) ${x}^{2}+{y}^{2}+5x+7y=0$ (C) ${x}^{2}+{y}^{2}-5x-7y=0$

two sides of an isocesle triangle are given by the equation 7x-y+3=0 and x+y-3=0. if its third side passes through the point (1,-10) then its equations are-

If the equation x squared-4x-6y+10=0 is transformed to X squared+AY=0,the axes remaining parallel.Find the new coordinates of the point where origin is shited and the value of A?

The hypotenuse of a right angled triangle has its ends at points

(1,3)and(-4,1).Find the equation of the legs (perpendicular sides) of the triangle.If the liner 2x+y-3=0,5x+ky-3=0and 3x-y-2=0 are concurrent, find the value of k????? please tell me in detail how we will solve this question and what is the meaning of concurrent??????

Find the image of the point (1,2) in the line x-3y+4 =0

find the distance of the point [3,2] from the straight line whose slope is 5 and is passing through the point of intersection of lines x+2y=5and x-3y+5=o

Find the equations of the lines which pass through (4,5) and make equal angles with lines 5x-12y +6 =0 and 3x-4y-7=0

the distance of the point (3,5) from the line 2x +3y - 14 = 0 measured parallel to the line x - 2y = 1 is ?

a) 7/ root 5

b) 7/ root 13

c) root 5

d) root 13

^{2}+ y^{2}+ 8x - 6y - 25 = 0 to the form AX^{2}+ BY^{2}= K^{2 }by shifting origin to a suitable point.^{}NCERT - miscellaneous exercise ch 10 Q-17

The end points of the hypotenuse of a right angled triangle are (1,3) and (-4,1). Find the equation of the legs of the triangle.

Find the equation of straight line whose intercepts on the axes are thrice as

Show that the points A(7,10), B(-2,5) and C(3,-4) are the vertices of an isoceles right-angled triangle.

The area of the triangle formed by the coordinate axes and a line is 6 square units and the length of the hypotenuse is 5 units . Find the equation of the line

Find the equation of the circle passing through the points (1,2), (3,-4) and (5,-6)

find the equation of the line through the intersection of the lines 2x+3y-4 = 0 and x-5y = 7 that has its intercept equal to -4.

find the value of 'k'if the straight line 2x+3y+4+k[6x-y=12]=0is perpendicular to the line7x+5y-4=0

A ray of light passing through the point (1, 2) reflects on the

x-axis at point A and the reflected ray passes through the point (5, 3). Find the coordinates of A.^{2 }+ 4xy + y^{2}= 0 and x - y = 4 are the sides of an equilateral triangle whose area is equal to A/(3)^{1/2}, then A is equal to?Thank You.

In what ratio is the line joining (1,2) (4,3) divided by the line joining (2,3) (4,1)??

1. find the equation of perpendicular bisectors of the line segment joining the points (1,1) and (2,3)

2. Find the eq of the line which passes through the points (3,4) and the sum of its intercepts on the axes 14

Find the orthocentre of the triangle the equation of whose sides are x+y=1, 2x+3y=6, 4x-y+4=0

Find the value of k , if the line 2x+3y+4+k(6x-y+12)=0 is perpendicular to the line 7x+5y-4=0.

if A(1,4) B(2,-3) C(-1,-2) are the vertices of a triangle ABC. find

a) the equation of the median through A

b) the equation of altitude through B

c) the right bisector of BC

^{2 }-3(mx-ly)^{2 }and lx+my+n=0 form an equlateral triangle with area n^{2}/root3(l^{2}+m^{2})One side of a rectangle lies along the line 4x + 7y + 5 = 0. Two of its

vertices are (–3, 1) and (1,1). Find the equation of other three sides.

if the image of the point(2,1) with respect to a line mirror be (5,2), find the equation of the mirror.

Consider a family of straight lines (x + y) + lambda(2x - y + 1) = 0. Find the equation of the straight line belonging to this family that is farthest from (1, -3).

Kindly please don't refer me the link to a similar question that ha s already been answered as I tried that method but I got a wrong answer.

Thank You.

Find the eq. of the straight lines which go through the origin and trisect the portion of the straight line 3x+y=12 which is intetercepted between the axes of the coordinates.

Find equation of medians of triangle ABC whose vertices are A(2.5) B(-4,9) C (-2,-1)

the diagonal of a square lies along the line 8x-15y=0 one vertex is (1,2). find equations to the side of square passing through it?

^{nd}, 7^{th }terms of some increasing A.P .Then the variable st. line alwys passes through a fixed point which lies on1. x

^{2}+ y^{2}=132.x

^{2}+y^{2}=53.y

^{2}=9/2x4. 3x+4y=9

Find the equation of bisector of angle A of triangle whose vertices are A(4,3) , B(0,0) & C(2,3)

How to split a pair of line equation of ax

^{2}+2hxy+by^{2}+2gx+2fy+c=0 in the short method?Find the slope of the line, which makes an angle of 30° with the positive direction of

y-axis measured anticlockwise.what difference it will get when it become clockwise in place of aticlockwise.

If (1,2) and (3, 8) are a pair of opposite vertices of a square, find the

equation of the sides and diagonals of the square.

find the equation of the straight line which cuts off intercepts on x axis twice that on y axis and is at a unit distance from the origin

1) centroid

2) incentre

3)orthocentre

4) non of these

plz explain

find the distance of the point (2,3) from the line 2x-3y+9=0 measured along a line making an angle of 45degreewith the x axis

find what the following equation becomes when the origin is shifted to the point(1,1)

x

^{2}+xy-3y^{2}-y+2=0if G is the centroid and I the incentre of the triangle with vertices A(-36,7) ,B(20,7) ,C(0,6) then find the value of GI?

WHY IS THE SLOPE OF A LINE TAN(THETA)?

Find the equation of the lines through the point (3, 2) which make an angle of 45° with the line

x–2y= 3.find the equation of passing through the point (3,2) and whose slope is 3/4. find the coordinates of the points on the same line that are 5 units away from the point (3,2)

If the co-ordinates of a variable point P be (acostheta,bsintheta) where theta is a variable quantity, find the locus of P.

^{2}+7xy-10y^{2}+13x+45y-35=0 represent two straight lines, and find angle between them.If

pandqare the lengths of perpendiculars from the origin to the linesxcosθ–ysinθ=kcos 2θandxsecθ+ycosecθ=k, respectively, prove thatp^{2}+ 4q^{2}=k^{2}a straight line makes an intercept on the y axis twice as long as that on the x axis and is at a unit distance from the origin.determine its equation (pls slove it)find the angle between x axis & line joining (2,-1) &(4,-3).

Find the equation of a line on which perpendicular from the origin makes an angle of 30 degree with the x-axis and which forma a triangle of area 50/3^1/2 with the coordinate axes ?

Find the direction in which a straight line must be drawn through the point (1,2), so that it's point of intersection with the line x+y=4 is at distance sqrt(

^{2}/_{3}) from the given point.(pk LII q-8)Find the equation of the line through the intersection of lines 3x + 4y = 7 and x – y + 2 = 0 and

would you plese explane

what is 'A S T C' rule ?

in example 3 why slope = -5

find the path of a moving point such its distance is from two lines 3x-2y=5and 3x+2y=5 are equal and state the name of path.