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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

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?

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

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.

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.

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

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.

2. The eqn of base if an equilateral triangle is x+y-2=0 and the opposite vertext has co-ordinates (2,-1) find the area of the triangle.

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

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

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)

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

^{2 }-3(mx-ly)^{2 }and lx+my+n=0 form an equlateral triangle with area n^{2}/root3(l^{2}+m^{2})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-

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

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

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

find the equation of a straight line on which the perpendicular from the origin makes an angle of 30 degree with the x-axis and which forms a triangle of are 50/root3 with the axes.

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 coordinates of the orthocenter of the triangle formed by the straight lines x+y-1=0, x+2y-4=0, x+3y-9=0

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

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.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

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

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

Find obtuse angle between lines x-2y+3=0 and 3x +y-1=0

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.

show that area of a triangle formed by lines y=m

_{1}x , y=m_{2}x and y=c is equal to c^{2}/4 (√33 +√11) where m_{1}and m_{2}are the roots of the equation x^{2}+(√3 +2 )x +√3 - 1 =0if the image of the point(2,1) with respect to a line mirror be (5,2), find the equation of the mirror.

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

x

^{2}+xy-3y^{2}-y+2=0Consider 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 equation of the line passing through the point of intersection of two lines x-3y+1=0 2x+5y-9=0 and whose distance from the origin is 5

^{1/2 .}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.

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?

the cartesian equations of sides BC,CA and AB of a triangel are repectively ur =a

_{r}x+b_{r}y+c_{r}=0 ,r=1,2,3. show that the equation of the straight line passing through A and bisecting side BC isu

_{3}/ a_{3}b_{1}-a_{1}b_{3}= u_{2}/a_{1}b_{2}-a_{2}b_{1}.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.

find the equation of the lines which are at a distance root 3 units from the origin and pass through the point (2, 0)

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

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 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

How to split a pair of line equation of ax

^{2}+2hxy+by^{2}+2gx+2fy+c=0 in the short method?find the eqn of the line cutting off an intercept -2 from the y-axis and equally inclined to the axes.

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 the distance of the point (2,5) from the 3x+y+4=0 measured parallel to a line having slope 3/4.

find the equation of a straight line parallel to 2x+3y+11=0 and which is such that sum of its intercepts on the axes is 15

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

x–2y= 3.if 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?

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

find the angle between the lines 3x +y-7=0 and x+2y+9=0

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 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 ?

18. In a plane there are 27 straight lines,of which 13 pass through the point A and 11 pass through

the point B. Besides, no three lines pass through one point, no line passes through both points A and B

and no two are parallel. Find the number of points of intersection of the straight fines.

if line joining A (2,0) AND B(3,1) is rotated abt A in anticlockwise direction thru an angle 15 . find equation of the line in new position

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 equation of sets of point P such that its distance from the points A(3,4,-5) B(-2,1,4) are equal