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Let A be the point where the curve 5 alp...

Let A be the point where the curve `5 alpha ^(2) x ^(3) +10 alpha x ^(2)+ x + 2y - 4=0 (alpha in R, alpha ne 0)` meets the y-axis, then the equation of tangent to the curve at the point where normal at A meets the curve again, is:

A

`x-ay+2a = 0`

B

`ax + y - 2 = 0`

C

`2x - y + 2 = 0`

D

`x + 2y -4 = 0`

Text Solution

Verified by Experts

The correct Answer is:
C
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FIITJEE-APPLICATION OF DERIVATIVE-Assignment Objective (level-1)
  1. The maximum value of the function f(x)=((1+x)^(0. 6))/(1+x^(0. 6)) in ...

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  2. A is a set containing n(1) elements and B is another set containing n(...

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  3. Let A be the point where the curve 5 alpha ^(2) x ^(3) +10 alpha x ^(2...

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  4. For the curve x^(2)y^(3) = c (where c is a constant), the portion of t...

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  5. Which of the following statements is not true about f(x) = 1+x+ x^(2)/...

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  6. The set of all values a for which f(x) = (a^(2) - 3a+2)(cosx/2)+(a-1)x...

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  7. If f: RvecRa n dg: RvecR are two functions such that f(x)+f^(x)=-xg(x)...

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  8. The largest possible value of the expression f(n) = sinx(1) cosx(2) + ...

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  9. A function g(theta ) = int(0)^(sin^(2)theta) f(x)dx + int(0)^(cos^(2...

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  10. The functio f(x)=tanx+(1)/(x), AA x in (0, (pi)/(2)) has

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  11. The function f(x) = min {|x|, sqrt(1-x^(2))}, -1lt x lt 1 possesses

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  12. If a, b, c, d, e and f are non negative real numbers such that a +b+...

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  13. For the function f(x) = cos^(-1)x + cos ^(-1) x^(2) which of the follo...

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  14. The greatest value of ax + by, when x and y are positive and x^(2)+ y ...

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  15. If x + y=4 and x >=0, y>= 0 find the maximum value of x^3y.

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  16. Find the minimum value of (x1-x2)^2+((x1^2)/20-sqrt((17-x2)(x2-13)))^...

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  17. Let a ,b , c in R such that no two of them are equal and satisfy |2a ...

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  18. If the function y= sin(f(x)) is monotonic for all values of x [ where ...

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  19. If f(x)= |sin x + 2/(3+sin x)+b| and f(b) denote the maximum of the f...

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  20. Maximum value of (sqrt(-3+4x-x^2)+4)^2+(x-5)^2 (where 1 le x le 3) is

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