Comprehension 1 Let `a^((log)_b x)=c\ w h e r e\ a ,\ b ,\ c\ &\ x\ ` are parameters. On the basis of above information, answer the following questions: If `a=2\ x=a^((log)_5 25)&\ c=sqrt(2)` , then `b` is- a.`2` b. `\ 16` c.`\ 12` d. `2`

Comprehension 1 Let a^((log)_b x)=c w h e r e a , b , c & x are parameters. On the basis of above information, answer the following questions: If b=(log)_(sqrt(3))3, c=2(log)_bsqrt(b) a n d s intheta=a(w h e r e x >1) t h e n theta can be a.pi/4 b. (3pi)/2 c. pi/2 d. 0

Comprehension 1 Let a^((log)_b x)=c w h e r e a , b , c & x are parameters. On the basis of above information, answer the following questions: If a=b=2xx3^sin^2theta+1/(1+tan^(2theta)) & c=(4 t a ntheta)/(sqrt(sec^2theta-1))(w h e r e theta lies in Ist Quadrant) , then x is- a.3 b. -3 c. 0 d. 4

Let a,b,c,d be the foru cosecutive coefficients int eh binomial expansion (1+x)^n On the basis of above information answer the following question: ((bc+ad)(b-c))/(ac^2-b^2d)= (A) 1/2 (B) 1 (C) -1 (D) 2

Let a,b,c,d be the foru cosecutive coefficients int eh binomial expansion (1+x)^n On the basis of above information answer the following question: a/(a+b), b/(b+c), c/(c+d) are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

Evaluate: int(a x^2+b x+c)/((x-a)(x-b)(x-c))\ dx ,\ \ w h e r e\ a ,\ b ,\ c are distinct.

If log_(32)x=0.8 , t h e n x is equal to a. 25.6 b. 16 c. 10 d. 12.8

If log_(4)x+log_(2)x=6, then x is equal to a.2 b.4 c.8 d.16

If log_(5)(x^(2)+x)-log_(5)(x+1)=2, then the value of x is a.5 b.10 c.25 d.32

If x=log_(k)b=log_(b)c=(1)/(2)log_(c)d, then log_(k)d is equal to

If (1)/(log_(a) x) + (1)/(log_(c) x) = (2)/(log_(b)x ) then a, b, c, are in