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Find the equation of the perpendicular b...

Find the equation of the perpendicular bisector of AB, where A and B are the points (3,6) and (`-3,4)` respectively. Also, find its points of intersection with (i) x-axis (ii) y-axis.

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RD SHARMA ENGLISH-COORDINATE GEOMETRY-All Questions
  1. The area of the triangle formed by (a , b+c),(b , c+a)a n d(c , a+b) ...

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  2. If the points A(4,3)a n dB(x ,5) are on the circle with centre O(2,3),...

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  3. Find the equation of the perpendicular bisector of AB, where A and B ...

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

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  5. Find the distance between the points: (i) P(-6,7) andQ(-1,-5) (ii)R(a...

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  6. Find the angle subtended at the origin by the line segment whose end ...

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  7. Prove that the points (2,3),(-4,-6)a n d(1,3/2) do not form a triangle...

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  8. Show that the points (-3,2),(-5,-5),(2,-3) and (4,4) are the vertices...

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  9. The two opposite vertices of a square are (1,-6)and (5,4). Find the co...

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  10. In an A.P,the sum of m terms of an AP is n and sum of n terms of AP is...

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  11. In the seating arrangement of desks in a classroom three studens Ro...

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  12. Find the coordinates of points which trisect the line segment joining ...

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  13. If the point P(2,2) is equidistant from the points A(-2, k)a n dB(-2k ...

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  14. In what ratio does the point C(3/5,(11)/5) divide the line segment joi...

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  15. Find the ratio in which the line segment joining A(1,\ -5) and B(-4,\ ...

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  16. If a!=b!=c , prove that the points (a , a^2),(b , b^2),(c , c^2) can n...

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  17. A point A divides the join of P(-5,1) and Q(3,5) in the ratio k :1 . T...

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  18. Prove that the mid-point of the hypotenuse of right angled triangle i...

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  19. Show that the points (1,-1),(5,2) and (9 ,5) are collinear.

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  20. Prove that the diagonals of a rectangle bisect each other and are equa...

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