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If (2,-3), (6,5) and (-2,1) are three co...

If `(2,-3), (6,5)` and `(-2,1)` are three consecutive vertices of a rhombus, then its area is (a) 24 (b) 36
(c) 18 (d) 48

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Verified by Experts

The correct Answer is:
D
We have `A(2,-3),B(6,5),C(-2,1)`
`2xxArea` of `DeltaABC`
`=2xx24=48`
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CENGAGE PUBLICATION-COORDINATE SYSYEM -Exercises
  1. One vertex of an equilateral triangle is (2,2) and its centroid is (-2...

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  2. ABCD is a rectangle with A(-1,2),B(3,7) and AB:BC=4:3. If P is the cen...

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  3. If (2,-3), (6,5) and (-2,1) are three consecutive vertices of a rhombu...

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  4. If poitns A(3,5) and B are equidistant from H(sqrt2,sqrt5) and B has r...

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  5. Let n be the number of points having rational coordinates equidistant...

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  6. In a triangle ABC the sides BC=5, CA=4 and AB=3. If A(0,0) and the int...

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  7. If A(0, 0), B(1, 0) and C(1/2,sqrt(3)/2) then the centre of the circle...

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  8. Statement 1: If in a triangle, orthocentre, circumcentre and centroid ...

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  9. Consider three points P = (-sin (beta-alpha), -cos beta), Q = (cos(bet...

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  10. If two vertices of a triangle are (-2,3) and (5,-1) the orthocentre li...

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  11. The vertices of a triangle are (p q ,1/(p q)),(q r ,1/(q r)), and (r p...

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  12. If the vertices of a triangle are (sqrt(5,)0) , (sqrt(3),sqrt(2)) , an...

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  13. Two vertices of a triangle are (4,-3) & (-2, 5). If the orthocentre o...

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  14. In Delta ABC if the orthocentre is (1,2) and the circumcenter is (0,0)...

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  15. A triangle A B C with vertices A(-1,0),B(-2,3/4), and C(-3,-7/6) has i...

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  16. If in triangle ABC, A=(1, 10), circumcentre=(-1/3, 2/3) and orthocentr...

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  17. In the DeltaABC, the coordinates of B are (0, 0), AB=2, /ABC=pi/3 and ...

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  18. If the origin is shifted to the point ((a b)/(a-b),0) without rotation...

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  19. A light ray emerging from the point source placed at P(2,3) is reflect...

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  20. Point P(p ,0),Q(q ,0),R(0, p),S(0,q) from.

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