class 11

Math

Co-ordinate Geometry

Straight Lines

Distance between two parallel planes $2x+y+2z=8$ and $4x+2y+4z+5=0$ is

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

Write the equation of the line through the points $(1,1)$and $(3,5)$.

A line $L$ passing through the point (2, 1) intersects the curve $4x_{2}+y_{2}−x+4y−2=0$ at the point $AandB$ . If the lines joining the origin and the points $A,B$ are such that the coordinate axes are the bisectors between them, then find the equation of line $L˙$

If the lines $2a+y3=0$, $5x+ky3=0$and $3xy2=0$are concurrent, find the value of k.

If three lines whose equations are $y=m_{1}x+c_{1},y=m_{2}x+c_{2}$and $y=m_{3}x+c_{3}$are concurrent, then show that $m_{1}(c_{2}−c_{3})+m_{2}(c_{3}−c_{1})+m_{3}(c_{1}−c_{2})=0$.

If one of the lines of $my_{2}+(1−m_{2})xy−mx_{2}=0$ is a bisector of the angle between the lines $xy=0$ , then $m$ is (a)$1$ (b) $2$ (c) $−21 $ (d) $−1$

If the middle points of the sides $BC,CA,$ and $AB$ of triangle $ABC$ are $(1,3),(5,7),$ and $(−5,7),$ respectively, then find the equation of the side $AB˙$

A line perpendicular to the line segment joining the points (1, 0) and (2, 3) divides it in the ratio $1:n$. Find the equation of the line.

If the lines joining the origin and the point of intersection of curves $ax_{2}+2hxy+by_{2}+2gx+0$ and $a_{1}x_{2}+2h_{1}xy+b_{1}y_{2}+2g_{1}x=0$ are mutually perpendicular, then prove that $g(a_{1}+b_{1})=g_{1}(a+b)˙$