class 11

Math

Co-ordinate Geometry

Coordinate Geometry

The centres of those circles which touch the circle, $x_{2}+y_{2}−8x−8y−4=0$, externally and also touch the x-axis, lie on :

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If a point $A(0,2)$ is equidistant from the points $B(3,p)$ and $C(p,5)$ then find the value of $p.$

For the following points, write the quadrant in which it lies.$(3,−8)$

Point $P(5,−3)$is one of the two points of trisection of the line segment joining the points $A(7,−2)andB(1,−5)$near to $A$. Find the coordinates of the other point of trisection.

Find the lengths of the medians AD and BE of $ΔABC$ whose vertices are $A(7,−3),B(5,3)$ and $C(3,−1)$.

Find the coordinates of the point which divides the join of $A(−1,7)$ and $B(4,−3)$ in the ratio $2:3$.

Find the distance between the points:$A(9,3)$ and $B(15,11)$.

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

In Fig. 3, the area of triangle ABC (in sq. units) is :