class 11

Math

Co-ordinate Geometry

Coordinate Geometry

The common tangents to the circle $x_{2}+y_{2}=2$ and the parabola $y_{2}=8x$ touch the circle at $P,Q$ andthe parabola at $R,S$. Then area of quadrilateral $PQRS$ is

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If the line $2x+y=k$passes through the point which divides the line segment joining the points (1, 1) and (2, 4) in the ratio 3 : 2, then k equals

Find the coordinates of the point which divides the join of $A(−5,11)$ and $B(4,−7)$ in the ratio $7:2$.

In what ratio does the point $C(4,5)$ divide the join of $A(2,3)$ and $B(7,8)$?

For what value of y are points $P(1,4),Q(3,y)$ and $R(−3,16)$ are collinear?

For the following points, write the quadrant in which it lies.$(1,−4)$

Find a relation between x and y, if the points $A(2,1),B(x,y)$ and $C(7,5)$ are collinear.

If the points $A(4,3)$ and $B(x,5)$ lie on the circle with centre $O(2,3)$, find the value of x.

In what ratio is the segment joining $A(2,−3)$ and $B(5,6)$ divided by the x-axis? Also, find the coordinates of the point of division.