Call me

Have a Query? We will call you right away.

+91

E.g: 9876543210, 01112345678

We will give you a call shortly, Thank You

Office hours: 9:00 am to 9:00 pm IST (7 days a week)

What are you looking for?

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

$ax+by+c=0;ax+by+c\text{'}=0;a\text{'}x+b\text{'}y+c=0a\text{'}x+b\text{'}y+c\text{'}=0$ are at right angles. Also find the equation to the diagonals of the parallelogram.

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

derive the formula for the angle between the two straight lines y=m1x+c1 and y=m2x+c2 and hence find the angle between the lines y-root3-5=0 and root3y-x+6=0

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.

Find the coordinates of the point(s) on the line x+y+3=0, whose distance from the line x+2y+2 = 0 is 5

^{0.5}.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.

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?

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

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

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

the centroid of a triangle abc is (2 7) the points B and c lie on x y axes respectively find B and C

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-

^{2}+ y^{2}+ 8x - 6y - 25 = 0 to the form AX^{2}+ BY^{2}= K^{2 }by shifting origin to a suitable point.^{}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

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

(A) (1, 4) (B) (-1, -4) (C) (-1, 2) (D) (1, -2)

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.

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

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

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

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.hence find the distance between (2,-1,3) and (-2,1,3)

Q2. If (a cos ${\mathrm{\theta}}_{1},\mathrm{a}\mathrm{sin}{\mathrm{\theta}}_{2}$), (a cos $\mathrm{\theta}$

_{2}, a sin $\mathrm{\theta}$_{2}) and (a cos $\mathrm{\theta}$_{3}, a sin $\mathrm{\theta}$_{3}) represents the vertices of an equilateral triangle inscribed inscribed in a circle, then(A) cos$\mathrm{\theta}$

_{1}+ cos$\mathrm{\theta}$_{2}+ cos$\mathrm{\theta}$_{3}= 0 (B) sin $\mathrm{\theta}$_{1}+ sin $\mathrm{\theta}$_{2}+ sin $\mathrm{\theta}$_{3}= 0(C) tan$\mathrm{\theta}$

_{1}+ tan$\mathrm{\theta}$_{2}+ tan$\mathrm{\theta}$_{3 }= 0 (D) cot$\mathrm{\theta}$_{1}+ cot $\mathrm{\theta}$_{2}+ cot$\mathrm{\theta}$_{3}= 01. 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

~~The sides of a triangle are given by the equation 3x+4y=10,4x-3y=5, and 7x+y+10=0. Show that the origin lies within the triangle.

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

(a) 1

(b) 2

(c) 3

(d) 13

Find the locus of the point P such that the sum of it's distances from (0,2) and (0,-2) is 6.

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.

A line passing through the point (3,0)makes an angle with 30degree with +ve direction of x-axis.

If this line is rotated through an angle of 15degree in clockwise direction , find its equation in new position.

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.

45.Derive a formula for the perpendicular distance of a point (x_{1}, y_{1}) from the line Ax + By + C = 0.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?

(i) ITS INTERCEPTS ON THE AXES (ANS IN THE TB : 3, -3/2)

(ii) THE LENGTH OF THE PORTION OF THE LINE INTERCEPTED BETWEEN THE AXES (ANS IN TB: 3√5/2)

(iii) THE SLOPE OF LINE ( ANS IN TB: 1/2)

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 eqn of the line cutting off an intercept -2 from the y-axis and equally inclined to the axes.

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

^{2}+ 25b^{2}- c^{2}= 40ab, then the family of lines ax + by + c = 0 is concurrent at the points)Thank You.

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 equation of the straight line which passes through the point (-5,4) and in such that the portion of it between the axes is divided by the given point in the ratio 1:2.

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

x

^{2}+xy-3y^{2}-y+2=0find the equation of the line cutting off an intercept -2 from the y axis and equally inclined to the axis .

The point P is (2,3)

Find

1) If P is the centroid, then find p+q

2) If P is the orthocentre, the find p+q

3) If P is the circumcentre, then find p+q.

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?

~~Put the equation 12y=5x+65 in the form of xcosθ+ysinθ=p and indicate clearly in a rough diagram the position of the straight line and the meaning of the constant θ and p.

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 coordinate of the foot of perpendicular form of point (-1,3)to the line(3x-4y-16)=0

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 slope of the line which makes an angle of 45 with the line 3x-y+5=0

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

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)_{1}_{ & x cos $\beta $ + y sin }$\beta $ = P_{2}will be perpendicular if :(a) $\alpha $ $\pm $ $\beta $ = $\frac{\mathrm{\pi}}{2}$ (b) $\alpha $ = $\frac{\mathrm{\pi}}{2}$ (c) | $\alpha $- $\beta $| = $\frac{\mathrm{\pi}}{2}$ (d) $\alpha $ = $\beta $

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 equation of the line through the intersection of lines 3x + 4y = 7 and x – y + 2 = 0 and

^{0 }with the positive direction of y-axis.x+ 3y+ 1 = 0 and 3x– 5y