Math1

1.) If x,y,z are distinct positive numbers such that x + 1/y = y + 1/z = z + 1/x,

 then value of  xyz = 

    (A) 1

    (B) 2

    (C) 3

    (D) 4

2.) If both the roots of equation αx² + 2x + β – α = 0 , (α ≠ 0) are imaginary

 and β > -2 , then

    (A) 3α + β > 4

    (B) 3α + β > 2

    (C) α < 0

    (D) 3α + β < 1

3.) A, B, C, D are consecutive vertices of a rectangle, whose area is 6 and 

length of diagonal is √13 . 

Area of ellipse passes through A and C and has foci at B and D is

4.) If A and B are orthogonal matrix of same order such that det (A) + det (B) = 0, then

    (A) det (A+B) = 1

    (B) det (A+B) = 0

    (C) det (A+B) = -1

    (D) det (A+B) = 2

5.) The number of 5 digit numbers, in which the number obtained by reversing the order

    of digits remains unchanged, are

    (A) 90

    (B) 900

    (C) 901

    (D) 910

Answer-  1.) A    2.) A    3.) A    4.) B    5.) B

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