Which of the fractions below are perfect squares?
a) `4/(15)" "` b) `8/9" "` 'c) `16/(25)" "` d) `(2 1)/4" "` e) `(4 1)/9 " "` f) `8/(18)`

The latus rectum of the ellipse 9x ^(2) + 16 y ^(2) = 144 is : a)4 b) 11/4 c) 7/2 d) 9/2

The vertices A, B, C of a triangle are (2,1),(5,2)and(3,4) , respectively. Then, the circumcentre is a) ((13)/(4),(-9)/(4)) b) ((-13)/(4),(9)/(4)) c) ((-13)/(4),(9)/(4)) d) ((13)/(4),(9)/(4))

1) -4+9 2) -15+8 3) -1/2+3/4 4) -9+4 5) -8+15 6) -3/4+1/2

Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range. i) {(2,1),(5,1),(8,1),(11,1),(14,1),(17,1)} ii) { (2,1,(4,2),(6,3),(8,4),(10,5),(12,6),(14,7)} iii) {(0,0),(1,1),(1,-1),(4,2),(4,-2),(9,3)(9,-3),(16,-4), (16,-4)} iv) {(1, 2),(1,3),(2,5)} v) {(2,1),(3,1),(5,2)} vi) { (1,2),(2,2),(3,2)}

If d/(d x) f(x)=4 x^3-3/x^4 such that f(2)=0 , then f(x) is a) x^4+1/x^3-(129)/8 b) x^3+1/x^4 + (129)/8 c) x^4+1/x^3+(129)/8 d) x^3+1/x^4-(129)/8

The projection of a line segment on the axes are 9, 12 and 8. Then, the length of the line segment is a)15 b)16 c)17 d)18

If E and F are events such that P(E)=1/4, P(F)=1/2 and P(E and F)=1/8, find P(not E and not F)

If E and F are events such that P(E)=1/4,P(F)=1/2 ,and p(E and F)=1/8 .find P(not E and not F).

sin ^(2) 5 ^(@) + sin ^(2) 10 ^(@) + sin^(2) 15 ^(@) + ... + sin ^(2) 90^(@) is equal to : a) 8 (1)/(2) b) 9 c) 9 (1)/(2) d) 4 (1)/(2)

If f(x)=x^(2)+4x-5andA=[(1,2),(4,-3)] , then f(A) is equal to a) [(0,-4),(8,8)] b) [(2,1),(2,0)] c) [(1,1),(1,0)] d) [(8,4),(8,0)]