`x=(sqrt(p^2+q^2)+sqrt(p^2-q^2))/(sqrt(p^2+q^2)-sqrt(p^2-q^2))` then `q^2x^2-2p^2x+q^2=?`
(A)   `3`   (B)   `-1`   (C)   `-2`   (D)   `0`   

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 p_(n+1)=sqrt(1/2(1+p_n)) , then cos(sqrt(1-p_0^2)/(p_1p_2p_3...to oo)) (a)   1    (b)   -1    (c)   p_0    (d)   1/p_0     (e)  None of these

The angle between the lines xcos alpha_1+ysin alpha_1=p_1 and xcos alpha_2+ysin alpha_2=p_2 is (A)    |alpha_1+alpha_2|     (B)    |alpha_1-alpha_2|     (C)    |2alpha_1|     (D)    |2alpha_2|    

The angle between the lines xcos alpha_1+ysin alpha_1=p_1 and xcos alpha_2+ysin alpha_2=p_2 is (A)    |alpha_1+alpha_2|     (B)    |alpha_1-alpha_2|     (C)    |2alpha_1|     (D)    |2alpha_2|    

Sum of the series 1+2^2x+3^2x^2+4^2x^3+.....to oo , |x| (A)    (1+x)/(1-x)^3    (B)    (1-x)/(1+x)^3     (C)    (2+x)/(1-x)^3    (D)    (1-x)/(1+x)^2

The value of x/y, if x=0x_1x_2x_1x_2............, where x_1,x_2, are consecutive digits after the decimal point in the number x and if y=0y_1y_2y_1y_2............, where y_1,y_2, are consecutive digits after the decimal point in the number y is: (A).    (y_1y_2)/(x_1x_2)    (B).    (x_1x_2)/(y_1y_2)    (C).    (x_1)/(y_2)    (D).    (x_2)/(y_1)   

7).Rewrite the following rational numbers in the simplest form:(i) -8/6 (ii) 25/45 (iii) -44/72 (iv) -8/10 (8).Fill in the boxes with the correct symbol out of >, <, and =.(i)        (ii)       (iii)     (iv)   (v)       (vi)      (vii)

7).Rewrite the following rational numbers in the simplest form: (i)-8/6 (ii) 25/45 (iii) -44/72 (iv) -8/10 (8).Fill in the boxes with the correct symbol out of >, <, and =. (i)        (ii)       (iii)     (iv)   (v)       (vi)      (vii)

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