Class 11

Math

Co-ordinate Geometry

Straight Lines

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Find the transformed equation of the straight line $2x3y+5=0$, when the origin is shifted to the point $(3,−1)$ after translation of axes.

The equation of a line which is parallel to the line common to the pair of lines given by $6x_{2}−xy−12y_{2}=0$ and $15x_{2}+14xy−8y_{2}=0$ and at a distance of 7 units from it is $3x−4y=−35$ $5x−2y=7$ $3x+4y=35$ $2x−3y=7$

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 $L˙$

The perpendicular from the origin to the line $y=mx+c$meets it at the point $(1,2)$. Find the values of m and c.

Area of the triangle formed by the lines $y_{2}−9xy+18x_{2}=0andy=6$ is____

Find the equation of the line which satisfy the given conditions : Intersecting the xaxis at a distance of 3 units to the left of origin with slope $2$.

In what ratio, the line joining $(1,1)$and $(5,7)$is divided by the line $x+y=4$?

Find the value of $a$ for which the lines represented by $ax_{2}+5xy+2y_{2}=0$ are mutually perpendicular.