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If the points `(a ,0),(a t1 ^ 2,\ 2a t_1)a n d\ a t2^ 2,\ 2a t_2)` are collinear, write the value of `t_1t_2dot`

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The points (a t_1^2, 2 a t_1),(a t_2^2, 2a t_2) and (a ,0) will be collinear, if

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The normal drawn at a point (a t_1^2,-2a t_1) of the parabola y^2=4a x meets it again in the point (a t_2^2,2a t_2), then t_2=t_1+2/(t_1) (b) t_2=t_1-2/(t_1) t_2=-t_1+2/(t_1) (d) t_2=-t_1-2/(t_1)

RD SHARMA ENGLISH-BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES-All Questions
  1. Find what the following equation become when the origin is shifted ...

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  2. Find what the following equation become when the origin is shifted ...

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  3. Find what the following equation become when the origin is shifted ...

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

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  5. Find what the following equations become when the origin is shifted...

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  6. Find what the following equations become when the origin is shifted...

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  7. Find what the following equations become when the origin is shifted...

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  8. Find what the following equations become when the origin is shifted...

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  9. Find the point to which the origin should be shifted after a transl...

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  10. Find the point to which the origin should be shifted after a transl...

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  11. Find the point to which the origin should be shifted after a transl...

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  12. Verify that the area of the triangle with vertices (4,6), (7,10) an...

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  13. The vertices of a triangle are O(0,0),\ A(a ,0)a n d\ B(0, b) . Write ...

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  14. Write the coordinates of the orthocentre of the triangle formed by ...

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  15. Three vertices of a parallelogram, taken in order, are (-1, -6), (2...

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  16. If the points (a ,0),(a t1 ^ 2,\ 2a t1)a n d\ a t2^ 2,\ 2a t2) are c...

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  17. Write the co ordinates of the circumcentre of a triangle whose centroi...

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  18. Write the coordinates of the incentre of the triangle having its ve...

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  19. If the points  (1,-1), (2,-1) and (4,-3) are the mid points of the ...

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  20. Write the area of the triangle having vertices at (a , b+c),\ (b , c+a...

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