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May 7, 2021 11:57 am 30 pts
(Part C, DRIL-20 marks) Multiple Choice Questions (1X10=10) f by any change of axes, without change of origin, the quantity a x* +2hxy + by* +2gx +2fy +c transforms to ax* +2hxy'+b'y* +2gx+2fy+c' then (a) atb=a' +b' b) ab +h' = ab+h'=ab+h* () (c)f-g*=f*g (d) None of these. ) 2 By a parallel transformation the origin is shifted to the point (a, b), then the equation +=2 transforms into b (a)+=l (b)+=4 (c)+ d)+=0 =2 3. The equation of lines passing through the origin and perpendicular to 5x- 7xy -3yd = 0 is (a) 7x-3xy-5y = 0 (b) 3x-7xy -5y= 0 ) (c) 7x*+ 3xy-5y* =0 O (d) 3x +7xy - 5y* = O0 The angle between the lines joining the origin to the points common to 4 5x + 12xy-8y +8x -4y+ 12=0 and x - y =2 is a) Tan 4 (b) ta an ) 4 4 4 (C) tan (d) an The pole of the straight line x +2y + 3= 0 w.r.t. the conic x + y-2x +5 = 0 is . (a) (1, ) (b) (. 2) (c)(2, 1) (d)(2,2 6. f a plane meets the axes in A, B, C and the centroid of triangle ABC is (a.p,y) , then the equation of the plane is Page 3 of 5
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