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The coordinates of the points A,B,C D ar...

The coordinates of the points A,B,C D are respectively (6,3) , (-3,5) , (4,-2) and (x,3x), if `("area of the"DeltaDBC)/("area of the"DeltaABC)=(1)/(2)`, find x.

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The correct Answer is:
`(11)/(8)`
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CHHAYA PUBLICATION-REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY -EXERCISE 1 ( Long Type Questions )
  1. The coordinates of A , B , C are (6,3), (-3,5) and (4,-2) respectively...

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  2. The points P,Q,R are collinear , if the coordinates of P and Q be (3,4...

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  3. The coordinates of the points A,B,C D are respectively (6,3) , (-3,5) ...

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  4. The coordinates of the points A,B,C and D are (-2,3), (8,9), (0,4) and...

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  5. The coordinates of the points A and B are (3,4) and (5,-2) respective...

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  6. The area of a quadrilateral is 28 square unit. If the coordinates of i...

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  7. If x(1),x(2),x(3) as well as y(1),y(2),y(3) are in G.P. with the sa...

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  8. Shift the origin to a suitable point so that the equation 2x^(2)-4x+3y...

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  9. Find the point to which the origin should be shifted so that the equat...

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  10. Show that the distance between two points remains unaltered by the tra...

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  11. Reduce the equation x+y+5=0 andx-2y+2=0 to the form ax+by =0 by prope...

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  12. Choose a new origin (h,k) (retaining the directions of axes) so that t...

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  13. Find the distance between the point (1+sqrt2,1-sqrt2) and (0,0)

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  14. Show that the straight line joining the mid - points of two sides of a...

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  15. Show that the straight lines joining the mid - points of the opposite ...

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  16. Prove analytically that the area of a triangle is four times that of t...

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  17. Using analytical method prove that the mid - point of the hypotenuse o...

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  18. If two medians of a triangle are equal , prove analytically that the t...

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  19. Using coordinate geometry prove that an isosceles traigle has two equa...

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  20. D,E,F are the mid - points of the sides overline(BC),overline(CA)andov...

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