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 °   

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

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

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

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

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

How many diagonals does each of the following have? (i)A convex quadrilateral (ii)A regular hexagon             (iii)   A triangle

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

The radical center of the circles x^2+y^2=a^2 , (x-c)^2+y^2=a^2 and x^2+(y-b)^2=a^2 is (A)   (a/2,b/2)   (B)   (b/2,c/2)   (C)   (c/2,b/2)   (D)   None of these