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A point A divides the join of P(-5,1) an...

A point `A` divides the join of `P(-5,1)` and `Q(3,5)` in the ratio `k :1` . Then the integral value of `k` for which the area of ` A B C ,` where `B` is `(1,5)` and `C` is `(7,-2)` , is equal to 2 units in magnitude is___

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RD SHARMA ENGLISH-COORDINATE GEOMETRY-All Questions
  1. Find the ratio in which the line segment joining A(1,\ -5) and B(-4,\ ...

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

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

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

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

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

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  7. Using analytical geometry, prove that the diagonals of a rhombus are ...

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  8. Find the area of the triangle whose vertices are (i)\ \ \ (2,3)," "...

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  9. If the vertices of a triangle have rational coordinates, then prove...

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  10. Find the area of the triangle ABC with A(1,-4) and mid-points of sides...

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  11. If P(x , y) is any point on the line joining the point A(a ,0)a n dB(0...

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  12. If x+2 is a factor of x^2+a x+2b and a+b=4, then (a) a=1,\ b=3 (b) a=...

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  13. If the point (x ,4) lies on a circle whose centre is at the origin an...

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  14. If three points (x1,y1),(x2, y2),(x3, y3) lie on the same line, prove ...

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  15. lf G be the centroid of a triangle ABC and P be any other point in the...

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  16. (a) a^2+b^2 (b) a+b (c) a^2-b^2 (d) sqrt(a^2+b^2)

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  17. Two vertices of a triangle are (3,-5)a n d(-7,4)dot If its centroid is...

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  18. If A(5,2),B(2,-2)a n dC(-2, t) are the vertices of right angles triang...

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  19. The length of a line segment is of 10 units and the coordinates of one...

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  20. Find the coordinates of the circumcentre of the triangle whose vertice...

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