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If lim(xrarr3)(x^n-3^n)/(x-3)=108,then t...

If `lim_(xrarr3)(x^n-3^n)/(x-3)=108`,then the value of n is

A

a)5

B

b)4

C

c)3

D

d)2

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 1-EXERCISE
  1. If the perpendicular distance from origin to the straight line 4x-3y+P...

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  2. If y= 1/(n-x) then dy/dx=

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  3. If lim(xrarr3)(x^n-3^n)/(x-3)=108,then the value of n is

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  4. A con is tossed two times.The probability of getting tail in both time...

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  5. The median of given data 6,8,7,18,10,6,26,9,4,32,40 is

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  6. If universal set U={x:x in N,1lexle10}A={x:x in N,2lexle6}and B={x:x i...

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  7. Let P={1,2,,3},Q={1,8,27}and f:PrarrQbe given by f(x)=x^3and g(x)=6x^2...

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  8. Find the value of cos^2 48^@-sin^2 12^@

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  9. Prove that ,In /\ABC a(bcosC-ccosB)=b^2-c^2

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  10. If omegais an imaginary cube root of unity then prove that (xomega^2+y...

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  11. 1st,2nd,and 8th term of a G.P are a^-4,a^m,a^52.Find the value of m.

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  12. If the 5th term of the expansion of (x^(2//3)+x^-1)^nis the term indep...

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  13. Prove that AA n,14^n-13n-1 is divisible by 13.(n in N)

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  14. Find the distance between the lines 3x+4y=9 and 6x+8y+15=0.

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  15. Find the ratio in which the plane 2x+3y+5z=1 divides the line segment ...

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  16. From 1st principle differentiate f(x)=sqrtxwith respect to x.

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  17. If f(x)=1/x (x!=0),Show that f'(1)-f'(-1)=0.

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  18. Show that the SD of two variables is half of their optimum value.

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  19. P(A)=1/2,P(B)=1/3,P(C)=1/4,are these true?when A,B,C are mutually disj...

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  20. For any two sets,prove that n(Acup B)=n(A)+n(B)-n(AcapB).

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