The number of integral pairs `(x,y)` satisfying the equation `(x-y)^2+2y^2=27` is:
a.   `8`
b.   `7`
c.   `6`
d.   `5`

In an AP, S_p=q , S_q=p . Then S_(p+q) is equal to: a.     0 b.     -(p+q) c.     (p+q) d.     pq

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

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

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

Following are some figures: Classify each of these figures on the basis of the following:(i) Simple curve                (ii)    Simple closed curve (iii) Polygon                         (iv)  Convex polygon (v)Concave polygon          (vi)   Not a curve   Figures

The mean of 100 numbers observations is 50 and their standards deviation is 5. The sum of all squares of all the observations is (a)50,000          (b) 250,000         (c) 252500         (d) 255000

The mean of 100 numbers observations is 50 and their standards deviation is 5. The sum of all squares of all the observations is (a)50,000          (b) 250,000         (c) 252500         (d) 255000

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