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If SK be the perpendicular from the focu...

If SK be the perpendicular from the focus S on the tangent at any point P on the ellipse `x^2/a^2+y^2/b^2=1(a>b).` then locus of K is

A

`a ^(2) x ^(2) + b ^(2) y ^(2) = (ax -by ) ^(2)`

B

`x ^(2) +y ^(2) = a ^(2)`

C

`x ^(2) +y ^(2) =4`

D

none of these

Text Solution

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The correct Answer is:
B
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FIITJEE-MATHEMATICS -ASSIGNMENT (SECTION(I) MCQ(SINGLE CORRECT)
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  2. The area between the latusne latus rectum and tangents drawn at the en...

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  3. If SK be the perpendicular from the focus S on the tangent at any poin...

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  4. If the curves (x ^(2))/(4) + y ^(2) = 1 and (x ^(2))/(a ^(2)) + y ^(2)...

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  5. If eccentric angle of a point lying in the first quadrant on the ellip...

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  6. Prove that the common tangent of the ellipses (x^2)/(a^2)+(y^2)/(b^2)-...

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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 intercept made by the auxiliary circle of the ellipse (x ^(2))/(a ...

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  9. If the normal at P(2(3sqrt(3))/2) meets the major axis of ellipse (...

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  10. If y = 2x + c neither cuts the circle (x - 2)^2 + (y - 3)^2 = 4 nor th...

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  11. If normals are drawn to the ellipse x^2 + 2y^2 = 2 from the point (2, ...

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  12. The locus of the point of inter section of perpendicular chords passin...

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  13. If normal at any point P to the ellipse x^2/a^2+y^2/b^2=1(a > b) meets...

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  14. Given the ellipse (x ^(2))/(4) +y ^(2) =1, the point on the line x =2,...

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  15. If the sum of the slopes of the normals from a point P to the hyperbol...

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  16. The line 2x + y = 0 passes through the centre of a rectangular hyperbo...

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  17. If the portion of the asymptote between the cnetre and the tangent at ...

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  18. A normal to the hyperbola (x^2)/4-(y^2)/1=1 has equal intercepts on th...

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  19. If the chords of contact of tangents from two points (-4,2) and (2,1) ...

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