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If P and Q are two points whose coordina...

If P and Q are two points whose coordinates are `(a t^2,2a t)a n d(a/(t^2),(2a)/t)` respectively and S is the point (a,0). Show that `1/(S P)+1/(s Q)` is independent of t.

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ARIHANT MATHS-COORDINATE SYSTEM AND COORDINATES -Exercise For Session 2
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  3. The distance between the points (3,pi/4) and (7,(5pi)/4)

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  5. The points (a+1,1), (2a+1,3) and (2a+2,2a) are collinear if

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  9. Find the distance between the points (at(1)^(2), 2 at(1)) and (at(2)^(...

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  10. If P and Q are two points whose coordinates are (a t^2,2a t)a n d(a/(t...

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  12. Prove that the points (0, -1), (6, 7), (-2, 3) and (8, 3) are the vert...

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  14. The vertices of a triangle are A(1,1),\ B(4,5)a n d\ C(6, 13)dot Find ...

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  15. The opposite vertices of a square are (2, 6) and (0, -2). Find the coo...

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  16. If the point (x , y) is equidistant from the points (ab , b-a) and (a-...

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  17. if a and bbetween 0 and 1 such that the points (a, 1). (1, b) and (0, ...

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  18. An equilateral triangle has one vertex at (3, 4) and another at (-2, 3...

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  19. If P be any point in the plane of square ABCD, prove that PA^(2)+PC^...

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