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If the normals at three points A, B, C o...

If the normals at three points A, B, C on the rectangular hyperbola `xy = c^(2)` intersect at a . Point D on the hyperbola, then

A

circumcircle of `Delta ABC` passes through D

B

centroid of triangle ABC lies at the centre of hyperbola `xy = c^(2)`

C

orthocentre of `Delta ABC` is the point D

D

centre of the circumcircle of `Delta ABC` lies at another hyperbola

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The correct Answer is:
B, C, D
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FIITJEE-HYPERBOLA-ASSIGNMENT PROBLEMS ( OBJECTIVE) Level - II
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  4. The equations (s) to common tangent (s) to the two hyperbola x^(2)/a^(...

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  5. If two tangents can be drawn to the differentanches of hyperbola x^2/1...

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  6. Straight line Ax+By+D=0 would be tangent to xy=c^2, if

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  8. If the tangents at the point (a sec alpha, b tan alpha) to the hyperbo...

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  9. If the normal at an end of latus rectum of the hyperbola x^(2)/a^(2) -...

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  10. If the normals at three points A, B, C on the rectangular hyperbola xy...

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  11. If the equation |sqrt((x - 1)^(2) + y^(2) ) - sqrt((x + 1)^(2) + y^(2)...

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  12. Points A(a) and B (b) are on xy = 1 , Circles with OA and OB as diamet...

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  13. In a rectangular hyperbola x^(2) - y^(2) = 4, a line is drawn through...

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  14. If P Q is a double ordinate of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1...

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  15. If t be any non-zero number , then the locus of extremities of the fam...

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  16. If (5, 12)" and " (24,7) are the focii of a hyperbola passing through...

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  18. If xy = m^(2) -4 be a reactangular hyperbola whose branches lies only...

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  19. If pair of tangents are drawn from any point (p) on the circle x^(2) +...

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