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

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

The number of integer values of m , for which the x-coordiante of the point of intersection of the lines 3x+4y=9 and y=mx+1 is also an integer, is (a)    2     (b)   0 (c)    4     (d)   1

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 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

If alpha , beta are the roots of 6x^2-2x+1=0 and s_x=alpha^n+beta^n , then Lt_(n->oo) sum_(r=1)^n s_r is (a)    5/17    (b)    0     (c)    3/37     (d)   none

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 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