If `alpha`, `beta` and `gamma` are the zeroes of the cubic polynomial `x^3-5x^2+2x-10`, then the value of `(alpha + beta + gamma)(1/alpha + 1/beta +1/ gamma)` is
(1)   `2`     (2)  `0`
(3)   `-1`     (4)  `1`

If alpha , beta gamma are the roots of the equation x^3+px^2+qx+r=0 , then (1-alpha^2)(1-beta^2)(1-gamma^2) is equal to (a)    (1+q)^2-(p-r)^2    (b)    (1+q)^2+(p+r)^2 (c)    (1-q)^2+(p-r)^2    (d)   none of these

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

Find the volume in cubic decimetre of each of the cubes whose side is (i)1.5m          (ii)  75cm        (iii)  2dm 5cm

Find the volume in cubic decimetre of each of the cubes whose side is (i)1.5m          (ii)  75cm        (iii)  2dm 5cm

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

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

The number of solutions of z^2+bar z=0 is (a) 1           (b) 2 (c) 3           (d) 4

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

If the vertices of a triangle PQR are rational points, then which of the following points of this triangle may not be rational - (a)   Centroid     (b)   Incenter (c)    Circumcenter     (d)    Orthocenter