Class 10

Math

All topics

Coordinate Geometry

If A(1, 2), B(4, 3) and C(6, 6) are the three vertices of a parallelogramABCD, find the coordinates of the fourth vertex D.

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A rod of length $l$ slides with its ends on two perpendicular lines. Find the locus of its midpoint.

The sum of the squares of the distances of a moving point from two fixed points (a,0) and $(−a,0)$ is equal to a constant quantity $2c_{2}˙$ Find the equation to its locus.

The points $(−a,−b),(a,b),(a_{2},ab)$ are (a) vertices of an equilateral triangle (b) vertices of a right angled triangle (c) vertices of an isosceles triangle (d) collinear

Let $A(6,4)andB(2,12)$ be two given point. Find the slope of a line perpendicular to $AB˙$

If $A(5,7),B(−4,−5),C(−1,−6)andD(4,5)$are the vertices of a quadrilateral, find the area of the quadrilateral ABCD.

Find the ratio in which the y-axis divides the line segment joining the points $(5,6)and(1,4)$.

Find the values of y for which the distance between the points $P(2,3)$ and $Q(10,y)$is 10 units.

Let $A≡(3,−4),B≡(1,2)˙$ Let $P≡(2k−1,2k+1)$ be a variable point such that $PA+PB$ is the minimum. Then $k$ is 7/9 (b) 0 (c) 7/8 (d) none of these