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If a tangent of slope is 2 of the ellip...

If a tangent of slope is 2 of the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` is normal to the circle `x^2+y^2+4x+1=0` , then the maximum value of `a b` is 4 (b) 2 (c) 1 (d) none of these

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
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  2. If one of varying central conic (hyperbola) is fixed in magnitude and ...

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

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

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

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

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  8. The curve for which the length of the normal is equal to the length...

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  9. The locus of the point of intersection of the tangent at the endpoints...

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  10. A tangent drawn to hyperbola x^2/a^2-y^2/b^2 = 1 at P(pi/6) froms a t...

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  11. The normal at a variable point P on the ellipse (x^2)/(a^2)+(y^2)/(b^2...

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  12. If the distance between the foci and the distance between the two d...

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  13. Any ordinate M P of the ellipse (x^2)/(25)+(y^2)/9=1 meets the auxilia...

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  14. 1. If the distance between two parallel tangents drawn to the hyperbol...

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  15. The number of distinct normal lines that can be drawn to the ellipse (...

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  16. A normal is drawn to the hyperbolas (y-x m)(m y+x)=a^2 and (m^2-1)(y^2...

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  17. An ellipse has point (1,-1)a n d(2,-1) as its foci and x+y-5=0 as one ...

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  18. The equation of the transvers axis of the hyperbola (x-3)^2+(y+1)^2=(4...

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  20. If a variable line has its intercepts on the coordinate axes ea n de^(...

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