Let `D_1=|a b a+b c d c+d a b a-b|a n dD_2=|a c a+c b d b+d a c a+b+c|` then the value of `|(D_1)/(D_2)|,w h e r eb!=0a n da d!=b c ,` is _____.

If a,b,c are in H.P , b,c,d are in G.P and c,d,e are in A.P. , then the value of e is

Given A=|a b 2c d e 2f l m 2n|,B=|f 2d e 2n 4l 2m c 2a b| , then the value of B//A is ___________.

Let the positive numbers a , b , c , d be in AP. Then a b c ,a b d ,a c d ,b c d are

Given A=|a b2c d e2fl m2n|,B=|f2d e2n4l2m c2a b| , then the value of B//A is ___________.

Let A=[[1, 2], [3 , 4]] and B = [[a, b],[ c, d]] be two matrices such that they are commutative and c ne 3 b then the value of |(a-d)/(2 b-c)| is

If ( vec axx vec b)xx( vec bxx vec c)= vec b ,w h e r e vec a , vec b ,a n d vec c are nonzero vectors, then (a) vec a , vec b ,a n d vec c can be coplanar (b) vec a , vec b ,a n d vec c must be coplanar (c) vec a , vec b ,a n d vec c cannot be coplanar (d)none of these

If a,b,c and the d are in H.P then find the vlaue of (a^(-2)-d^(-2))/(b^(-2)-c^(-2))

If a ,b ,c in R^+a n d2b=a+c , then check the nature of roots of equation a x^2+2b x+c=0.

If a ,b ,c ,d ,e are in A.P., the find the value of a-4b+6c-4d+edot

a ,b ,c x in R^+ such that a ,b ,a n dc are in A.P. and b ,ca n dd are in H.P., then a b=c d b. a c=b d c. b c=a d d. none of these