1. A
   $\sin A\sin B\sin C=0$
2. B
   $\sin A\sin B\cos C=0$
3. C
   $\cos A\sin B\sin C=0$
4. D
   $\cos A\cos B\cos C=0$

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1. A
   $-1$
2. B
   $0$
3. C
   $2\tan A\sin B\cos C$
4. D
   $-2\tan A\sin B\cos C$

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1. A
   324
2. B
   364
3. C
   384
4. D
   400

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1. A
   1
2. B
   2
3. C
   3
4. D
   4

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1. A
   $-3$
2. B
   $-1$
3. C
   $-\frac{1}{5}$
4. D
   $-\frac{3}{5}$

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1. A
   240
2. B
   180
3. C
   120
4. D
   60

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1. A
   16
2. B
   24
3. C
   32
4. D
   48

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1. A
   One
2. B
   Two
3. C
   Four
4. D
   Infinite

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1. A
   $0$
2. B
   $1$
3. C
   $abc$
4. D
   $ab+bc+ca$

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1. A
   1 and 2 only
2. B
   2 and 3 only
3. C
   1 and 3 only
4. D
   1, 2 and 3

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1. A
   line parallel to $x$-axis
2. B
   line parallel to $y$-axis
3. C
   line parallel to $z$-axis
4. D
   plane parallel to $xy$-plane

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1. A
   1 only
2. B
   2 only
3. C
   Both 1 and 2
4. D
   Neither 1 nor 2

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1. A
   internally in the ratio $2:3$
2. B
   internally in the ratio $3:2$
3. C
   externally in the ratio $2:3$
4. D
   externally in the ratio $2:1$

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1. A
   4
2. B
   6
3. C
   8
4. D
   infinite

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1. A
   $\frac{40}{49}$
2. B
   $\frac{64}{49}$
3. C
   $\frac{120}{49}$
4. D
   $\frac{160}{49}$

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