SRM University 2007 B.Tech MODEL - Question Paper

(c) 1/3, -5/3
(d) -1/3, -5/3
80. The roots of 2x2 -6x +7 = 0 are
(a) real and various
(b) real and equal
(c) rational
(d) imaginary
81. If the formula x2 –m (2x-8)-15=0 has equal roots, than the value of m is
(a) three or 5
(b) -3 or 5
(c) three or -5
(d) two or 3
82. If a and ß are the roots 2x2 - 5x + two = 0, then the formula whose roots are (a+ß)
and aß/2 is
(a) 4x2 – 12x + five = 0
(b) 4x2 + 12x + five = 0
(c) 4x2 + 12x -5 = 0
(d) 4x2 -12x -5 = 0
83. The point on the curve y = 2x-x2 at which the tangent is parallel to the line x+2y = 0 is
(a) (-5 / 4, -10 / 13)
(b) (5 / 2, five / 13)
(c) (5 / 4, 15 / 16)
(d) (-15 / 2, -12 / 13)
84. Area ranging from y2 = 4ax and y = x is
(a) 8a2
3
(b) 16a2
3
(c) 32a2
3
(d) 64a2
3
85. The quantity of the solid found by rotating the ellipse = one about its minor axis is
(a) 3p
20
(b) 400p
3
(c) 400p
5
(d) 400p
7
86. The area bounded by the curve xy – 12 = 0 and x = 0, y = 1, y = e2 is
(a) 12 sq.units
(b) e12 sq .units
(c) 24 sq .units
(d) e24 sq .units
87. The quantity generated by revolving the 1st quadrant area bounded by the parabola
Y2 = 4ax and the line y = 2a about y- axis is 50p, then ‘a’ is
(a) 5
(b)
(c) 25
(d) (25) 1/ 3
88. The general solution of x dy = (x-y) dx is
(a) 2xy = x2 + c
(b) xy = y2 + c
(c) xy + c = y
(d) 2xy = c x2
89. The solution of x2 = x2 + xy + y2 is
(a) tan - one ( y / x) = log x + c
(b) tan - one (x / y) = log x + c
(c) tan - one (x / y) = log y + c
(d) tan - one ( y / x) = log y + c
90. If the integrating factor of a linear formula is sinx then the respective P is
(a) sinx
(b) cosx
(c) tanx
x2 y2
16 25
+

Earning:   Approval pending.