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In A B C , if the orthocentre is (1,2) ...

In ` A B C ,` if the orthocentre is `(1,2)` and the circumcenter is (0, 0), then centroid of ` A B C)` is (a) `(1/2,2/3)` (b) `(1/3,2/3)` (c) `(2/3,1)` (d) none of these

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If in triangle ABC, A=(1, 10), circumcentre=(-1/3, 2/3) and orthocentr...

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  2. Find The orthocenter of the triangle formed by (0,0),(8,0),(4,6)

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  3. In A B C , if the orthocentre is (1,2) and the circumcenter is (0, 0)...

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  4. If the vertices of a triangle are (sqrt(5,)0) , (sqrt(3),sqrt(2)) , an...

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  5. The vertices of a triangle are (p q ,1/(p q)),(q r ,1/(q r)), and (r p...

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  6. If two vertices of a triangle are (-2,3) and (5,-1) the orthocentre li...

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  7. P and Q are points on the line joining A(-2,5) and B(3,1) such that AP...

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  8. The point (4,1) undergoes the following three transformations successi...

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  9. If the coordinates of the vertices of a triangle are rational numbers,...

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  10. If P(1,2) ,Q(4,6),R(5,7), and S(a , b) are the vertices of a parallelo...

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  11. If the area of the triangle formed by the points (2a ,b)(a+b ,2b+a), a...

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  12. The incenter of the triangle with vertices (1,sqrt(3)),(0,0), and (2,...

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  13. The locus of the moving point whose coordinates are given by (e^t+e^(-...

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  14. The distance between the circumcenter and the orthocenter of the trian...

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  15. A man starts from the point P(-3, 4) and reaches point Q (0,1) touchin...

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  16. Statement 1 : The area of the triangle formed by the points A(1000 ,...

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  17. Consider three points P-=(-sin(beta-alpha),-cosbeta), Q-=(cos(beta-alp...

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  18. Factorise: (l+m)^2–4lm

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  19. Find |vecx| if for a unit vector, veca , (vecx-veca).(vecx+veca)=12,

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  20. A straight line passing through P(3,1) meets the coordinate axes at A ...

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