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If tangents P Qa n dP R are drawn from a...

If tangents `P Qa n dP R` are drawn from a variable point `P` to thehyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1,(a > b),` so that the fourth vertex `S` of parallelogram `P Q S R` lies on the circumcircle of triangle `P Q R` , then the locus of `P` is `x^2+y^2=b^2` (b) `x^2+y^2=a^2` `x^2+y^2=a^2-b^2` (d) none of these

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The number of points on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=3 from w...

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  2. The coordinates (2, 3) and (1, 5) are the foci of an ellipse which ...

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  3. If tangents P Qa n dP R are drawn from a variable point P to thehyperb...

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  4. If the variable line y=k x+2h is tangent to an ellipse 2x^2+3y^2=6, th...

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  5. The locus of a point, from where the tangents to the rectangular hyp...

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  6. The value of a for the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1,(a > b), if t...

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  7. The tangent at a point P on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 me...

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  8. If x ,y in R , satisfies the equation ((x-4)^2)/4+(y^2)/9=1 , then th...

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  9. The locus of the foot of the perpendicular from the center of the hy...

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  10. Column I, Column II An ellipse passing through the origin has it...

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  11. Find the range of parameter a for which a unique circle will pass thro...

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  12. Column I, Column II stick of length 10 units rests against the floo...

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  13. Show that the midpoints of focal chords of a hyperbola (x^2)/(a^2)-(y^...

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  14. If the normal at the point P(theta) to the ellipse x^2/14+y^2/5=1 inte...

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  15. A tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 cuts the ellipse ...

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  16. Prove that the part of the tangent at any point of the hyperbola (x^2)...

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  17. A variable line y=m x-1 cuts the lines x=2y and y=-2x at points Aa n d...

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  18. Statement 1 : If aa n db are real numbers and c >0, then the locus rep...

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  19. Two tangents to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 having m1a n d...

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  20. A tangent having slope of -4/3 to the ellipse (x^2)/(18)+(y^2)/(32)=...

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