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If y=4x+3 is parallel to a tangent to...

If `y=4x+3` is parallel to a tangent to the parabola `y^(2)=12`x, then its distance from the normal parallel to the given line is

A

`(213)/(sqrt(17))`

B

`(219)/(sqrt(17))`

C

`(211)/(sqrt(17))`

D

`(210)/(sqrt(17))`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2014-MULTIPLE CHOICE QUESTIONS
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  3. If y=4x+3 is parallel to a tangent to the parabola y^(2)=12x, then ...

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  4. Let the equation of an ellipse be (x^(2))/(144)+(y^(2))/(25)=1. Then ...

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  5. The straight lines x+y=0, 5x+y=4 and x+5y=4 form

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  6. If sin^(-1)((x)/(13))+"cosec"^(-1)((13)/(12)) =(pi)/(2), then the valu...

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  7. The values of lambda for which the curve (7x+5)^(2)+(7y+3)^(2)=lambda^...

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  8. Let f(x)=x+1//2. Then the number of real values of x for which the t...

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  9. Let f(x)=2x^(2)+5x+1. If we write f(x) as f(x)=a(x+1)(x-2)+b(x-2) (...

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  10. If alpha, beta are the roots of ax^(2)+bx+c=0 (a ne 0) and a+h, beta +...

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  11. Let p, q be real numbers . If alpha is the root of x^(2)+3p^(2)x+5q^(...

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  12. The equation of the common tangent with positive slope to the parabola...

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  13. The point on the parabola y^(2)=64x which is nearest to the line 4x+3y...

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  14. Let z(1),z(2) be two fixed complex numbers in the Argand plane an...

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  15. The function f(x)=(tan{pi[x-(pi)/(2)]})/(2+[x]^(2)) , where [x] denote...

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  16. The function f(x)=a sin|x| +be^(|x|) is differentiable at x = 0 when

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  17. If the coefficient of x^(8) in (ax^(2)+(1)/(bx))^(13) is equal to th...

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  18. If I= int(0)^(2) e^(x^(4)) (x-a) dx=0, then alpha lies in the interva...

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  19. The solution of the differential equation (dy)/(dx)=e^(y+x)+e^(y-x) is

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  20. Suppose that the equation f(x)=x^(2)+bx +c=0 has two distinct real ...

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