6. If the tangent to the curve y = x at the point P(t, t) meets...

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6. If the tangent to the curve y = x at the point P(t, t) meets the curve again at Q, then the ordinate of the point which divides PQ internally in the ratio 1:2 is: (a) 0 7. (b)-t The system of linear equations 3x-2y-kz = 10 2x-4y-2z=6 (c) -2t (d) 2t 45 x+2y-z = 5m is inconsistent if 4 (a) k=3, m (b) k=3, m- (c) k=3, mR (d) k=3, m = 5 5 8. A man is walking on a straight line. The arithmetic mean of the reciprocals of the intercepts of the line on the coordinate axes is. Three stones A, B and C are placed at the point (1, 1), (2, 2) and (4, 4) respectively. Then which of these stones is/are on the path of the man? (b) All the three (a) A only (c) C only (d) B only 9. If - cosxsinx, dx=asin sinx+cosx +C, where c is a constant of integration, then the ordered 8-sin2x b pair (a, b) is equal to: (a) (-1,3) (b) (1,-3) (c) (3,1) (d) (1,3) 10. The statement among the following that is a tautology is: (a) A^(AvB) (b) Av (AB) (c) BA (AB)] (d) [A^(AB)]B 6. If the tangent to the curve y = x at the point P(t, t) meets the curve again at Q, then the ordinate of the point which divides PQ internally in the ratio 1:2 is: (a) 0 7. (b)-t The system of linear equations 3x-2y-kz = 10 2x-4y-2z=6 (c) -2t (d) 2t 45 x+2y-z = 5m is inconsistent if 4 (a) k=3, m (b) k=3, m- (c) k=3, mR (d) k=3, m = 5 5 8. A man is walking on a straight line. The arithmetic mean of the reciprocals of the intercepts of the line on the coordinate axes is. Three stones A, B and C are placed at the point (1, 1), (2, 2) and (4, 4) respectively. Then which of these stones is/are on the path of the man? (b) All the three (a) A only (c) C only (d) B only 9. If - cosxsinx, dx=asin sinx+cosx +C, where c is a constant of integration, then the ordered 8-sin2x b pair (a, b) is equal to: (a) (-1,3) (b) (1,-3) (c) (3,1) (d) (1,3) 10. The statement among the following that is a tautology is: (a) A^(AvB) (b) Av (AB) (c) BA (AB)] (d) [A^(AB)]B