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If the centre of a circle is (2a,a-7) ,t...

If the centre of a circle is (2a,a-7) ,then Find the value of a , if the ciecle passes through the point (11,-9) and has diameter `10sqrt(2)` units .

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x=y
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VK GLOBAL PUBLICATION-COORDINATE GEOMETRY -PROFICIENCY EXERCISE ( Short Answer Questions-I )
  1. If (a,b) is the mid - point of the line segment joining the points A (...

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  2. Find the ratio in which the line 2x+3y-5=0 divides the line segment jo...

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  3. If the centre of a circle is (2a,a-7) ,then Find the value of a , if t...

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  4. Find the coordinates of points which divide the line segment joining A...

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  5. Find the value of k for which the points A(k+1, 2k), B(3k, 2k +3) and ...

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  6. Find the coordinates of the point R on the line segment joining the po...

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  7. Find the third vertex of a triangle, if two of its vertices are at ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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