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Direction cosines of the line that makes equal angles |, , with the three axes in space are, , yl id 6 2 3, t +245 b) t-, t=, +=, (a) + ‘ tb) So Este, , If the direction ratios of a line are 1, -3, 2, then its, direction cosines are, , (@) =o =, Vi4 V14’ 14 14 V14 Vi4, = <3 = oo, , (c) Se 2 ee eae, , fa hl gee ie ie a, , The cosine of the angle between any two diagonals, of a cube is, , ai wt «2 (a), 3 2 3 V3

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4., , Which of the following is false ?, , (a) 30°, 45°, 60° can be the direction angles ofa line |, in space., , (b) 90°, 135°, 45° can be the direction angles of a :, line in space., , (c) 120°, 60°, 45° can be the direction angles of a, line in space., , (d) 60°, 45°, 60° can be the direction angles of a line ©, in space. :, , A line makes angles a, B and y with the co-ordinate, , axes. If a + B = 90°, then y is equal to, , (a) 0 (b) 90°, , (c) 180° (d) None of these, , If a line makes angles ,, 6), 6; with the axes —, , respectively, then cos 20; + cos 20, + cos 20; =, (a2) -4 (b)-2 @-3 @W-l

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10. If P(2, 3, 4), Q(-1, -2, 1) and R(5, 8, 7) are three, , 11., , points, then, , (a) direction ratios of PQ and QR are not in, proportion, , (b) P, Q, R lie on the same line, , (c) P, Q, R do not lie on the same line, , (d) None of these, , If A(3, 5, -4), B(-1, 1, 2) and C(-5, -5, -2) are the, vertices of a AABC, then, , (a) direction cosines of AB are, , fr ir i, (b) direction cosines of AC are ——, —=, ==, Te’ Te Te, (c) direction cosines of BC are _ 3. =e., , Vi7’ Vi7", (d) All of these