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Column I, Column II stick of length 1...

Column I, Column II stick of length 10 units rests against the floor and a wall of a room. If the stick begins to slide on the floor then the locus of its middle point is (Assume the origin to be the intersection of the floor and the wall and the coordinate axes along the floor and the wall), p. `sqrt(6)` `AA^(prime)` is the major axis of the ellipse `3x^2+2y^2+6x-4y-1=0` and `P` is a variable point on it. Then the greatest area of triangle `A P A '` is, q. `2sqrt(7)` The distance between the foci of the curve represented by the equation `x=1+4costheta,y=2+3sintheta` is, r. `(128)/3` Tangents are drawn to the ellipse `(x^2)/(16)+(y^2)/7=1` at the endpoints of the latus rectum. The area of the quadrilateral so formed is, s. `sqrt(5)`

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
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  2. Find the range of parameter a for which a unique circle will pass thro...

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

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

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

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

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

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

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

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

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

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  12. Let P be a point on the hyperbola x^2-y^2=a^2, where a is a parameter,...

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  13. Let P be any point on a directrix of an ellipse of eccentricity e ,S b...

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  14. If one of varying central conic (hyperbola) is fixed in magnitude and ...

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  15. If a tangent of slope is 2 of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 i...

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  16. A transvers axis cuts the same branch of a hyperbola (x^2)/(a^2)-(y^2)...

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  17. If (sqrt(3))b x+a y=2a b touches the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1...

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  18. The eccentricity of the conic represented by x^2-y^2-4x+4y+16=0 is 1 (...

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  19. If the ellipse (x^2)/(a^2-7)+(y^2)/(13=5a)=1 is inscribed in a square ...

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