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If y=f(x^(2)+2) " and " f'(3)=5, " then ...

If `y=f(x^(2)+2) " and " f'(3)=5, " then " (dy)/(dx)` at x=1 is

A

5

B

25

C

15

D

10

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FULL MARKS-SAMPLE PAPER 12-PART
  1. lim(nto0)(1/n^(2)+2/n^(2)+3/n^(2)+...+n/n^(2)) is

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  2. The remainder when 38^(15) is divided by 13 is

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  3. If y=f(x^(2)+2) " and " f'(3)=5, " then " (dy)/(dx) at x=1 is

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  4. int tanxdx=

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  5. A, B and C try to hit a target simultaneously but independently. Their...

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  6. If A and B are any two events, then the probability that exactly one o...

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  7. Let X = {a, b,c,d}, and R = { (a,a) (b,b) (a,c)}. Write down the minim...

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  8. Simplify (1)/(2+sqrt3)+(3)/(4-sqrt5)+(6)/(7-sqrt8).

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  9. Find the value of cot15^(@).

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  10. Find the sum 1+4/5+7/(25)+(10)/(125)+ . ..

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  11. Examine whether the matrix ((1,4,9),(4,9,16),(9,16,25)) is singular or...

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  12. For any two vectors veca and vecb prove that |vecaxxvecb|^(2)+(veca*ve...

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  13. Find the derivative of x^(cosx) with respect to x.

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  14. Evaluate int(1)/(4-x^(2))dx.

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  15. The length of the perpendicular drawn from the origin to a line is 6 a...

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  16. Prove that sin 105^(@) + cos 105^(@) = cos 45^(@)

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  17. How many triangles can be formed by joining 15 points on the plane, in...

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  18. Find the equation of the locus of a point such that the sum of the squ...

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  19. If A^(T)=[(4,5),(-1,0),(2,3)]and B=[(2,-1,1),(7,5,-2)], verify the ...

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  20. Show that the points whose position vectors are 2veci+3vecj-5veck,3vec...

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