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A and B are points (3,4) and (5,-2), fin...

A and B are points (3,4) and (5,-2), find the co-ordinate of the point P such that `abs(PA)`=`abs(PB)` and area of `DeltaPAB=10`.

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D is midpoint of [AB]
`therefore D harr (1,3)`
Similarly E and F are mid-points of BC and CA
`therefore in harr (4,4)` and `F harr (2,6)`
`therefore` Area of `Delta DEF`
`implies 1/2 abs(4-12+24-8+6-6)=4`.
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PATHFINDER-RECTANGULAR CO-ORDINATES-QUESTION BANK
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  3. Find out in centre of the triangle formed by (1,2),(3,4) and (2,3).

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  7. Find the area of the triangle with vertices at (-4,1),(1,2),(4,-3).

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  8. The points A(-2,3),B(3,4),C(x,y) form an equilateral triangle. Find x ...

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  9. Find the ratio in which the segment joining the points (5,6) and (2,-3...

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  10. Find the ratio in which the segment joining the points (5,6) and (2,-3...

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  11. Prove that the points A(-2,-1) B(1,0), C(4,3) and D(1,2) are the verti...

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  13. Find the equation of the right bisector of the line joining (1,1) and ...

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  15. Find the co-ordinates of the point which divided the join of P(5,-2) a...

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  16. Find the co-ordinates of the point which divided the join of P(5,-2) a...

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  17. Show that the quadrilateral with vertices A(3,2), B(0,5), C(-3,2), D(0...

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  18. A and B are points (3,4) and (5,-2), find the co-ordinate of the point...

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  19. Find the ratio in which the line joining (-5,1) and (1,-3) divides the...

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