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If the points A (2,9), B (a,5) and C (5,...

If the points A (2,9), B (a,5) and C (5,5) are the vertices of a `triangleABC`. Right angled at B, then find the values of a and hence the area of `triangleABC`.

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The correct Answer is:
a=2 , 72 sq. units .
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VK GLOBAL PUBLICATION-COORDINATE GEOMETRY -PROFICIENCY EXERCISE ( Short Answer Questions-I )
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  3. Find the coordinates of the point R on the line segment joining the po...

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  5. Find the area of the quadrilateral whose vertices taken in order are (...

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  6. The area of a triangle is 5 square unit. Two of its vertices are (2, 1...

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  7. If the points A (2,9), B (a,5) and C (5,5) are the vertices of a tria...

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  8. The vertices of a triangle are (a, b - c), (b, c - a) and (c, a - b). ...

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  9. The base PQ of two equilateral triangles PQR and PQR with side 2a lies...

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  10. If the points (a, b), (a', b') and (a-a', b-b') are collinear, show th...

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  11. Show that the points (a^(2) , 0), (0, b^(2) ) and (1, 1) are collinear...

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  12. The coordinates of A ,\ B ,\ C are (6,\ 3),\ (-3,\ 5) and (4,\ -2) ...

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  13. Show that (1, -1) is the centre of the circle circumscribing the trian...

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  14. If the point A (-2, 1 ), B (a, b) and C (4, -1) are collinear and a-b ...

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  15. If the points P(-3, 9), Q(a, b) and R(4, -5) are collinera and a+b = 1...

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  16. If the points A(-1,\ -4),\ \ B(b ,\ c) and C(5,\ -1) are colline...

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  17. If the point P(2, 2) is equidistant from the points A(-2, k) and B(-2k...

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  18. Points A(-1, y) and B(5, 7) lie on a circle with centre O(2, -3y) . F...

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  19. the value of k for which the points (3k - 1, k-2), (k, k-7) and (k-1, ...

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  20. Points P, Q, R and S divide the line segment joining the points A(1, 2...

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