Fill in the blanks
If `a/b=c/d=e/f=2/3` then `(a+c-e)/(b+d-f)`=______

If a/b=c/d=e/f=3/4 , then (a+c-e)/(b+d-f) is:

Consider the following sets and fill up the blanks with =or ne so as to make the statement true. A={1,2,3} B={The first three natural numbers} C={a,b,c,d} D={d,c,a,b} E={a,e,I,o,u} F={sets of vowels in English Alphabet} (i) A....B (ii) A...E (iii) C....D (iv) D....F (v) F....A (vi) D.....E (vii) F.....B

D , E ,a n dF are the middle points of the sides of the triangle A B C , then (a) centroid of the triangle D E F is the same as that of A B C (b) orthocenter of the tirangle D E F is the circumcentre of A B C

There are two possible values of A in the solution of the matrix equation [(2A+1,-5),(-4,A)]^(-1) [(A-5,B),(2A-2,C)]=[(14,D),(E,F)] where A, B, C, D, E and F are real numbers. The absolute value of the difference of these two solutions, is

Choose the correct combination of labelling the number of carbon compounds in the substrate molecules, involved in the citric acid cycle 1. (A) 4C, (B) 6C, (C) 5C, (D) 4C, (E) 4C 2. (A) 6C, (B) 5C, (C) 4C, (D) 3C, (E) 2C 3. (A) 2C, (B) 3C, (C) 4C, (D) 5C, (E) 6C 4. (A) 4C, (B) 5C, (C) 6C, (D) 4C, (E) 4C

If A={a,b,c,d} and B={b,c,d,e} be two sets then_____

In A B C , internal angle bisector of /_A meets side B C in D . DE_|_A D meets A C at E and A B at F. Then (a) A E is in H.P. of b and c (b) A D=(2b c)/(b+c)cosA/2 (c) E F=(4b c)/(b+c)sinA/2 (d) AEF is isosceles

If f^(prime)(x)=f(x)+int_0^1f(x)dx ,gi v e nf(0)=1, then the value of f((log)_e 2) is (a) 1/(3+e) (b) (5-e)/(3-e) (c) (2+e)/(e-2) (d) none of these

The domain of f(x) is (0,1) Then the domain of (f(e^x)+f(1n|x|) is (a) (-1, e) (b) (1, e) (c) (-e ,-1) (d) (-e ,1)