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520 Inverse Trigonometric Functions

Inverse Trigonometric Functions 513 1. [MNR 1986]

(a)(b)

(c)(d)2. The principal value of is[IIT 1986]

(a)(b)

(c)(d)None of these3.

If and then

(a)0(b)

(c)(d)None of these4. If , then x =

(a)(b)

(c)(d)None of these5.

If for some , then the value of is[IIT 1992]

(a)(b)

(c)(d)6.

Ifthen[Karnataka CET 2004](a)3(b)1(c)2(d)17. [MP PET 1999]

(a)(b)

(c)(d)8.

(a)(b)

(c) (d)9. The equation has (a)No solution(b)Unique solution(c)Infinite number of solutions(d)None of these10. is equal to

(a)(b)

(c)(d) None of these11. The number of real solutions of is [IIT 1999](a)Zero(b)One(c)Two(d)Infinite12. The equation has [AMU 1999](a)No solution(b)Only one solution(c)Two solutions(d)Three solutions13.

If , then is equal to [Kerala (Engg.) 2002](a)xyz(b)0(c)1(d)2xyz14. [Dhanbad Engg. 1976]

(a)

(b)

(c)

(d)15. then x =[UPSEAT 2002]

(a)(b)

(c)(d)