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A variable line passes through the fixed...

A variable line passes through the fixed point `(alpha, beta)`. The locus of the foot of the perpendicular from the origin on the line is,

A

`x^(2) + y^(2) - alpha x - beta y = 0`

B

`x^(2) - y^(2) + 2 alpha x + 2 beta y = 0`

C

`alpha x + beta y pm sqrt((alpha^(2) + beta^(2))) = 0`

D

`(x^(2))/(alpha^(2)) + (y^(2))/(beta^(2)) = 1`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2019-MULTIPLE CHOICE QUESTIONS
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  2. A straight line through the point (3, -2) is inclined at an angle 60^(...

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  3. A variable line passes through the fixed point (alpha, beta). The locu...

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  4. If the point of intersection of the lines 2ax + 4ay + c = 0 and 7bx + ...

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  5. A variable circle passes through the fixed point A(p, q) and touches x...

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  6. If P(0, 0), Q(1, 0) and R((1)/(2), (sqrt(3))/(2)) are three given poin...

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  7. For the hyperbola (x^(2))/(cos^(2) alpha) - (y^(2))/(sin^(2) alpha) = ...

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  8. S and T are the foci of an ellipse and B is the end point of the minor...

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  9. The equation of the directrices of the hyperbola 3x^(2) - 3y^(2) - 18x...

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  10. P is the extremity of the latusrectum of ellipse 3x^(2) + 4y^(2) = 48 ...

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  11. The direction ratios of the normal to the plane passing through the po...

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  12. The equation of the plane, which bisects the line joining the points (...

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  13. The limit of the interior angle of a regular polygon of n sides as n r...

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  14. Let f(x) gt 0 for all x and f(x) exists for all x. If f is the inverse...

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  15. Consider the function f(x) = cos x^(2). Then

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  16. lim(x rarr 0) (e^(x) + x)^(1//x)

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  17. Let f(x) be a derivable function , f'(x) gt f(x) and f(0) = 0. Then

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  18. Let f:[1, 3] rarr RR be a continuous function that if differentiable ...

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  19. lim(x rarr 0)(x^(n) ln x), n gt 0

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  20. If int cos x log (tan""(x)/(2))dx = sin x log (tan""(x)/(2)) + f(x) th...

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