Math Chapter Wise

EnglishUP PCS (Pre) 2000

Q41.The area of the curve r = p (1 + cos θ) is:

A8p B1 p 2 π C3 p π D2 3 p 2 π

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EnglishUP PCS (Pre) 2000

Q42.The radius of curvature of the curve x y 1 + = + = at the point 1 1, 4 4 is equal to:

A1/2 B1/2 C1/2 2 D1/4

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EnglishUP PCS (Pre) 2001

Q43.The curvature of the curve x2 +y2 –6x–8y = 0 at the origin is:

Azero B1/5 C5 D25

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EnglishUP PCS (Pre) 2001

Q44.The volume of the solid generated by the revolution of the curve 3 2 2 a y = a + x about its asymptote is:

A2 a 2 B2 3 a π C2 2 a π D2 3 1 a 2 π

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EnglishUP PCS (Pre) 2003

Q45.The stationary points of the curve (2x 1)(x 8) y (x 1)(x 4) are:

A1,0,(8,0) 2 B(2,9), (8,0) C(2,9), 25 2, 9 D(2,2),(2, 2)

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EnglishUP PCS (Pre) 2003

Q46.The radius of curvature of the curve y = ex at the point where in crosses the y-axis is–

A2 B1/ 2 C4 2 D2 2

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EnglishUP PCS (Pre) 2003

Q47.The normal to a curve at the point P(x, y) meets x-axis in N. Then PN is equal to:

Ady y dx Bdx y dy C2 dx y 1 dy D2 dy y 1 dx

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EnglishUP PCS (Pre) 2006

Q48.The radius of curvature at the origin, for the curve y=x3 +9x2 +4x is:

A17/18 B17 17/18 C18/17 17 D18/17

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EnglishUP PCS (Pre) 2007

Q49.The length of chord of curvature through the pole of the curve r = a (1+ cos θ) is–

A1 r 2 B2 r 3 Cr D4 r 3

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EnglishUP PCS (Pre) 1997

Q50.The point of inflexion of the curve 5/ 2 y x = is:

A(1,1) B(0,0) C(1,0) D(0,1)

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