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An instrument consists of two units. Eac...

An instrument consists of two units. Each unit must function for the instrument to operate.The reliability of the first unit is 0.9 and that of the second unit is 0.8. The instrument is tested & fails. The probability that only the first unit failed & the second unit is sound is

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  1. An instrument consists of two units. Each unit must function for the i...

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  2. If p and q are positive real numbers such that p^2+""q^2=""1 , t...

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  3. A value of C for which the conclusion of Mean Value Theorem holds f...

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  4. The function f(x)""=""t a n^(-1)(sinx""+""cosx) is an increasing fu...

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  5. How many real solutions does the equation x^7+""14 x^5+""16 x^3+""3...

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  6. Suppose the cube x^3""p x""+""q has three distinct real roots wh...

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  7. Given P(x)""=""x^4+""a x^3+""c x""+""d such that x""=""0 is the only ...

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  8. The shortest distance between the line yx=1 and the curve x=y^2 is ...

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  9. Let f: R R be a continuous function defined by f(x)""=1/(e^x+2e^(-...

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  10. Let f:""RrarrR be defined by f(x)={(k-2x , if xle-1),( 2x+3, if x gt...

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  11. The equation of the tangent to the curve y""=""x""+4/(x^2) , that is p...

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  12. The shortest distance between line y"-"x""=""1 and curve x""=""y^2 is ...

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  13. A spherical balloon is filled with 4500p cubic meters of helium gas...

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  14. The intercepts on x-axis made by tangents to the curve, y=int0^x|t|...

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  15. If f and g are differentiable functions in [0, 1] satisfying f(0)""=""...

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  16. A bird is sitting on the top of a vertical pole 20 m high and its e...

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  17. The normal to the curve, x^2+""2x y-3y^2=""0,""a t""(1,""1) : (1) ...

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  18. Consider f(x)=tan^(-1)(sqrt((1+sinx)/(1-sinx))), x in (0,pi/2)dot A n...

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  19. A wire of length 2 units is cut into two parts which are bent respe...

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  20. The radius of a circle, having minimum area, which touches the curve y...

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  21. Twenty metres of wire is available for fencing off a flower-bed in ...

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