class 11

Math

Co-ordinate Geometry

Straight Lines

Let PS be the median of the triangle with vertices $P(2,2),Q(6,−1)andR(7,3)$. The equation of the linepassing through $(1,−1)$ and parallel to PS is

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If the lines $px_{2}−qxy−y_{2}=0$ makes the angles $α$ and $β$ with X-axis , then the value of $tan(α+β)$ is

The line through the points (h, 3) and (4, 1) intersects the line $7x−9y−19=0$at right angle. Find the value of h.

The base of an equilateral triangle with side 2a lies along the y–axis such that the mid–point of the base is at the origin. Find vertices of the triangle.

Prove that the straight lines joining the origin to the point of intersection of the straight line $hx+ky=2hk$ and the curve $(x−k)_{2}+(y−h)_{2}=c_{2}$ are perpendicular to each other if $h_{2}+k_{2}=c_{2}˙$

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 $2$.

Find the distance of the point $(1,1)$from the line $12(x+6)=5(y2)$.

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.

Find the value of x for which the points $(x,1)$, $(2,1)$and $(4,5)$are collinear.