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If the variable line y=k x+2h is tangent...

If the variable line `y=k x+2h` is tangent to an ellipse `2x^2+3y^2=6,` then the locus of `P(h ,k)` is a conic `C` whose eccentricity is `3.` Then the value of `3e^2` is___________

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
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  2. If tangents P Qa n dP R are drawn from a variable point P to thehyperb...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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