The measure of the angle between the internal and external bisectors of an angle is:
(A)  `60°`    (B)  `70°`    
(C)  `80°`     (D)  `90°`

The acute angle between the lines y=3 and y=sqrt(3)x+k is (A)   30 °   (B)   60 °    (C)   45 °   (D)   90 °   

If a^(1/2)+b^(1/2)-c^(1/2)=0 , then the value of (a+b-c)^2 is: (A)    2ab    (B)    2bc    (C)    4ab    (D)    4ac

If int (1+xtanx)^(-2) dx=1/(x+f(x))+c; then value of f(x) is (1)   xtanx    (2)   cotx    (3)   tanx    (4)   tan^2x

If the circumference of a circle is equal to the perimeter of a square then the ratio of their areas is: (a)22:7       (b)  14:11       (c)  7:22          (d)  7:11

If the circumference of a circle is equal to the perimeter of a square then the ratio of their areas is: (a)22:7       (b)  14:11       (c)  7:22          (d)  7:11

If the difference between mean and m0de is 63, the difference between mean and median is 189           (b)  21          (c)  31.5          (d)  48.5

If the difference between mean and m0de is 63, the difference between mean and median is 189           (b)  21          (c)  31.5          (d)  48.5

If the difference between mean and m0de is 63, the difference between mean and median is 189           (b)  21          (c)  31.5          (d)  48.5

The distance of the point (2,3) from the line x-2y+5=0 measured in a direction parallel to the line x -3y=0 is: (A)   2sqrt(10)     (B)   sqrt(10)     (C)   2sqrt(5)     (D)   None of these

If m and x are two real numbers where m in I, then e^(2micot^(-1)x)((x*i+1)/(x*i-1))^m (A)   cos x+i sin x   (B)   m/2   (C)   1    (D)   (m+1)/2