If `a , b >0a n d0

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

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

Find the coordinates of a point equidistant from the origin and pints A(a ,0,0),\ B(0, b ,0)a n d\ C(0,0, c)dot

The vertices of a triangle are O(0,0),\ A(a ,0)a n d\ B(0, b) . Write the coordinates of its circumcentre.

In a A B C , if A B=A C\ a n d\ B C is produced to D such that /_A C D=100^0, then /_A= (a) 20^0 (b) 40^0 (c) 60^0 (d) 80^0

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

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= (a) 60^0 (b) 90^0 (c) 120^0 (d) none of these

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 _____.

In Figure, if A B||H F\ a n d\ D E\||F G , then the measure of /_F D E is (a) 108^0 (b) 80^0 (c) 100^0 (d) 90^0

If a circle passes through the point (0,0),(a ,0)a n d(0, b) , then find its center.