If `a , b >0a n d0

Solve the system the equations (a x)^(loga)=(b y)^(logb); b^(logx)=a^(logy) w h e r e a >0, b >0a n d a!=b , a b!=1

If A B , B C a n d C D are equal chords of a circle with O as centre and A D diameter, then /_A O B= 60^0 (b) 90^0 (c) 120^0 (d) none of these

If a , b ,c in Ra n da(a+b)+b(b+c)+c(c+a)=0 then a.a=b=c=0 b. a+b+c+=0 c. (a-b)^2+(b-c)^2+(c-a)^2=0 d. a^3+b^3+c^3+3a b c=0

Write the equation of the plane passing through points (a ,\ 0,\ 0),\ (0,\ b ,\ 0)a n d\ (0,\ 0,\ c)dot

If a>0,b>0 then (lim_(n rarr oo)((a-1+b^((1)/(n)))/(a))^(n)=b^(1/a)b.a^((1)/(b)) c.a^(b)d.b^(a)

If a!=b!=c\ a n d\ |{:(a, b, c), (a^2,b^2,c^2), (b+c, c+a, a+b):}|=0 then a+b+c=0 b. a b+b c+c a=0 c. a^2+b^2+c^2=a b+b c+c a d. a b c=0

If a\ a n d\ b are two numbers such that a b\ =\ 0 , then (a) a\ =\ 0\ a n d\ b\ =\ 0 (b) a\ =\ 0\ or\ b\ =\ 0 (c) a\ =\ 0\ a n d\ b!=0 (d) b\ =\ 0\ a n d\ a!=0

In a triangle A B C , if B=30^0a n d\ c=sqrt(3)\ b , then A can be equal to 45^0 (b) 60^0 (c) 90^0 (d) 120^0

In a cyclic quadrilateral A B C D if A B C D a n d /_B=70^0, find the remaining angles.

In a quadrilateral A B C D , bisectors of angles A\ a n d\ B intersect at O such that /_A O B=75^0, then write the value of /_C+\ /_D