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Show that the points (a,b+c),(b,c+a) and (c,a+b) are collinear.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If the points (x1, y1),(x2,y2), and (x3, y3) are collinear show that...

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  2. Find dy/dx, if y = (1 - tan^2x)/(1 + tan^2x) .

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  3. Show that the points (a,b+c),(b,c+a) and (c,a+b) are collinear.

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  4. A line cuts the x-axis at A(7,0) and the y-axis at B(0,-5). A variable...

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  5. Find the value of k so that point colinear (7,-2), (5,1), (3,k).

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  6. Statement 1 : Let the vertices of a A B C be A(-5,-2),B(7,6), and C(5...

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  7. If (x , y) and (X ,Y) are the coordinates of the same point referred t...

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  8. OX and OY are two coordinate axes. On OY is taken a fixed point P(0,c)...

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  9. Two vertices of a triangle are (5,-1) and (-2,3) If the orthocentre of...

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  10. The vertices of a triangle are [a t1t2,a(t1 +t2)], [a t2t3,a(t2 +t3)],...

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  11. If (-6,-4),(3,5),(-2,1) are the vertices of a parallelogram, then the...

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  12. The maximum area of the triangle whose sides a,b and c satisfy 0leqale...

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  13. If (-4,0) and (1,-1) are two vertices of a triangle of area 4s qdotu n...

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  14. Let 0-=(0,0),A-=(0,4),B-=(6,0)dot Let P be a moving point such that th...

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  15. Through the point P(alpha,beta) , where alphabeta>0, the straight line...

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  16. The vertices A and D of square A B C D lie on the positive sides of x-...

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  17. A light ray emerging from the point source placed at P(2,3) is reflect...

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  18. If the origin is shifted to the point ((a b)/(a-b),0) without rotation...

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  19. In Delta ABC, the coordinates of B are (0,0) AB=2,angleABC=pi//3, and ...

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  20. If in triangle ABC, A=(1, 10), circumcentre=(-1/3, 2/3) and orthocentr...

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