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For hyperbola x^2sec^2alpha-ycos e c^2al...

For hyperbola `x^2sec^2alpha-ycos e c^2alpha=1,` which of the following remains constant with change in `'alpha'` abscissa of vertices (b) abscissa of foci eccentricity (d) directrix

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RESONANCE DPP-CONIC SECTIONS-All Questions
  1. The hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 passes through the point (2, )...

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  2. The tangent at the point P on the rectangular hyperbola x y=k^2 with ...

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  3. If L1&L2 are the lengths of the segments of any focal chord of th...

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  4. If y=2x+3 is a tangent to the parabola y^2=24 x , then is distance fro...

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  5. For hyperbola x^2sec^2alpha-ycos e c^2alpha=1, which of the following ...

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  6. Number of normals drawn from the point (-2,2) to the parabola y^2-2y-2...

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  7. If the line 2x-2y+lambda=0 is a secant to the parabola x^2=-8y , the...

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  8. A set of parallel chords of the parabola y^2=4a x have their midpoint ...

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  9. A rhombus is formed by two radii and two chords of a circle whose r...

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  10. A point on a parabola y^2=4a x , the foot of the perpendicular from it...

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  11. The chord of contact of the pair of tangents drawn from each point on ...

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  12. The focal chord to y^2=16x is tangent to (x-6)^2+y^2=2 , then the po...

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  13. Locus of the point of intersection of the perpendicular tangents of th...

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  14. Through the vertex ' O^(prime) of the parabola y^2=4a x , variable c...

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  15. The locus of the midpoint of the line segment joining the focus to a ...

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  16. The equation to the chord joining two points (x1,y1) and (x2,y2) on th...

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  17. The locus of the point of intersection of the tangents at the extre...

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  18. Let us consider an ellipse whose major and minor axis are 3x+4y-7=0 an...

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  19. If two distinct chords, drawn from the point (p, q) on the circle x^2+...

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  20. A parabola y=a x^2+b x+c crosses the x-axis at (alpha,0)(beta,0) both ...

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