Math Chapter Wise

EnglishGIC Lecturer Exam-2015

Q181.If x > 0, xy=1,then the minimum value of x+y will be

A–2 B1 C2 DNone of these

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EnglishGIC Lecturer Exam-2015

Q182.If a function f(x) is defined in internal (0,2) as follows:– 2 f(x) x x, when x is rational. 2 3 x x, = + = + when x is irrational. Then the values of upper and lower Riemann integrals in internal (0,2) are respectively–

A83 53, 12 12 B20 14, 3 3 C49 5, 12 6 DNone of these

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EnglishGIC Lecturer Exam-2015

Q183.Which of the following functions is not Riemann-integrable?

AA continuous function in the interval [a,b]. BA monotonic function in the interval [a,b]. CA function having infinite number of discontinuities which have infinite number of limiting points in internal [a,b]. DA function having infinite number of discontinuities which have finite number of limiting points in internal [a,b].

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EnglishTGT 2013

Q184.Curve n n x y 2 a b + = + = If touches the line x y 2 a b + = + = at point P then the coordinate point P will be -

A(a, b) B(b, a) C(1, 1) D(1/a, –b)

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EnglishTGT 2013

Q185.If xy = a2 and s = b2 x + c2 y where a, b and c are constants then the minimum value of s will be -

Aabc B2abc C3abc Da + b + c

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EnglishUP PCS (Pre) 1997

Q186.For the curve x=t2 –t, y=t2 –1 the tangent is perpendicular to x-axis where:

At=0 Bt=∞ C1 t 2 = Dt=1

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EnglishUP PCS (Pre) 1997

Q187.The supremum of the function ((()) 1 f x x x = − = − in the interval 1,2 2 is:

A2 B1 C3/2 DDoes not exist

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EnglishTGT 2010

Q188.The slope of the tangent to the curve x = 3t2 +1, y = t3 –1 at x = 1 is

A0 B1/2 C∞ D–2

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EnglishTGT 2010

Q189.If the normal to the curve y = f(x) at the point (3,4) makes an angle 3 4 π with the positive x-axis, then f' (3) is equal to

A–1 B–3/4 C4/3 D1

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EnglishTGT 2009

Q190.The maximum value of the function x3 – 2x2 + x + 6 will be -

A166/12 B166/25 C4 6 27 D6

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EnglishTGT 2004

Q191.The greatest value assumed by the function f(x)= 5- x - 3 is

A3 B8 C6 D5

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