7. If the mirror image of the point (1,3,5) with respect to the plane 4x -...

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7. If the mirror image of the point (1,3,5) with respect to the plane 4x - 5y + 2z = 8 is (a, , y) then 5(a+B+y) equals: (a) 41 (d) 43 (b) 39 (c) 47 n+6n+10 8. The sum of the series - is equal to: =1 (2n+1)! 41 (a) 8 19 8 -1 -e+ e-10 41 (b) -e 8 19 41 19 41 19 e-10 (c) 8 8 e+ e+10 8 -1 (d) e-10 8 8 9. Let A 1,2,3,., 10) and f: AA be defined as k+1 if k is odd f(k) kif k is even Then the number of possible functions g: A A such that gof = f is: (a) 10C5 (b) 5! (c) 105 (d)55 10. Let slope of the tangent line to a curve at any point P(x, y) be given by xy+y. If the curve X intersects the line x + 2y = 4 at x = -2, then the value of y, for which the point (3, y) lies on the curve, is: 4 (a) 3 (b) 18 11 18 (c) 19 18 (d) 35 11. 12. A natural number has prime factorization given by n = 2*3*5, where y and z are such that y + z = 5 -1 and y +z =,y>z. Then the number of odd divisors of n, including 1, is: (a) 11 -1 5 6 (b) 6x Consider the following system of equations: x+2y-3za 2x + 6y 11z b x-2y + 7z = c, (c) 6 where a, b and c are real constants. Then the system of equations: (a) has infinite number of solution when 5a = 2b+c (b) has no solution for all a, b, and c (c) has a unique solution when 5a = 2b + c (d) 12 aksha (d) has a unique solution for all a, b and c 7. If the mirror image of the point (1,3,5) with respect to the plane 4x - 5y + 2z = 8 is (a, , y) then 5(a+B+y) equals: (a) 41 (d) 43 (b) 39 (c) 47 n+6n+10 8. The sum of the series - is equal to: =1 (2n+1)! 41 (a) 8 19 8 -1 -e+ e-10 41 (b) -e 8 19 41 19 41 19 e-10 (c) 8 8 e+ e+10 8 -1 (d) e-10 8 8 9. Let A 1,2,3,., 10) and f: AA be defined as k+1 if k is odd f(k) kif k is even Then the number of possible functions g: A A such that gof = f is: (a) 10C5 (b) 5! (c) 105 (d)55 10. Let slope of the tangent line to a curve at any point P(x, y) be given by xy+y. If the curve X intersects the line x + 2y = 4 at x = -2, then the value of y, for which the point (3, y) lies on the curve, is: 4 (a) 3 (b) 18 11 18 (c) 19 18 (d) 35 11. 12. A natural number has prime factorization given by n = 2*3*5, where y and z are such that y + z = 5 -1 and y +z =,y>z. Then the number of odd divisors of n, including 1, is: (a) 11 -1 5 6 (b) 6x Consider the following system of equations: x+2y-3za 2x + 6y 11z b x-2y + 7z = c, (c) 6 where a, b and c are real constants. Then the system of equations: (a) has infinite number of solution when 5a = 2b+c (b) has no solution for all a, b, and c (c) has a unique solution when 5a = 2b + c (d) 12 aksha (d) has a unique solution for all a, b and c