Math Chapter Wise

EnglishRajasthan TGT 2011

Q141.Function f(x)=(1-x)2 ex is minimum at

Ax 1 = − Bx 1 = Cx 0 = Dx 2 =

Show answer

EnglishRajasthan TGT 2011

Q142.if a 0,b 0 > > > > then maximum value of acosθ+bsinθ is

Aa+b Ba-b Ca or b D2 2 a b +

Show answer

EnglishRajasthan TGT 2011

Q143.Minimum value of function 1 1 f(x,y) xy x y = + + = + + = + + = + + is

A3 B2 C1 D0

Show answer

EnglishKVS TGT DEC 2017

Q144.The maximum value of sin θ.cos θ is–

A1 B1/2 C1/2 D2

Show answer

EnglishKVS TGT DEC 2017

Q145.If 1 f(x) log(1 x), x 1 x 0 then f is–

Aan increasing function Ba decreasing function Cboth increasing and decreasing function Dneither increasing nor decreasing function

Show answer

EnglishKVS TGT DEC 2017

Q146.The maximum value of 2 x f(x) 4 x x on 1,1 is–

A1/4 B1/3 C1/6 D1/5

Show answer

EnglishTGT 2011

Q147.The normal to the given curve is parallel to x- axis if

Ady 0 dx = Bdy 1 dx = Cdx 0 dy = Ddx 1 dy =

Show answer

EnglishTGT 2011

Q148.The greatest slope of the curve y = –x3 +3x2 +9x– 27 is -

A0 B12 C16 D32

Show answer

EnglishTGT 2011

Q149.If the value of function 1 x f(x) x,x 0 = > = > is maximum at x = e

Ae eπ > π Be eπ < π Ce eπ = π De eπ ≤ π

Show answer

EnglishUP PCS (Pre) 1998

Q150.The angle of intersection of the curves y = 4 – x2 and y = x2 is:

A-1 4 tan 7 B-1/tan 2 2 C() -1 tan 2 3 − D-1 4 tan 2 7

Show answer

EnglishUP PCS (Pre) 1998

Q151.The orthogonal trajectories of the hyperbolas xy = c2 are:

Ax2 + y2 = c2 Bx2 – y2 = k2 C2 2 x y 1 a b + = Dxy = k2

Show answer

EnglishUP PCS (Pre) 1998

Q152.The maximum value of ((()) 1 sinx cosx 2 − − for x in R is:

A2 B3 C2 D1

Show answer

EnglishUP PCS (Pre) 1998

Q153.The area of the greatest rectangle, which can be inscribed in the circle x2 + y2 – 2ax + 2by + b2 = 0 is:

Aab 2 π B2ab C2a2 D2 a 2 π

Show answer

EnglishUP PCS (Pre) 1998

Q154.The Cartesian sub tangent at any point of the parabola y2 = 4ax:

Avaries as the abscissa of the point Bis of constant length Cvaries as the ordinate of the point Ddoes not satisfy any of (a), (b), (c)

Show answer

EnglishUP PCS (Pre) 1998

Q155.The abscissae of points on the curve x3 – 6x2 + 8x – y = 0 at which the normals to the curve are parallel to the axis of y, are:

A2 3 ± B4 2 3 ± C1 2 3 ± D() 1 2 3 3 ±

Show answer

EnglishUP PCS (Pre) 1994

Q156.The angle of intersection of the curves 2 xy a and 2 2 2 x y 2a is–

Aπ/4 Bπ/2 C0 Dπ

Show answer

EnglishUP PCS (Pre) 1994

Q157.The orthogonal trajectory of family of curve y = ax2 is–

A2 2 2/x 2y a B2 2 2/x y a C2 2 x y 1 a a D2 2 2/2x y a

Show answer

EnglishUP PCS (Pre) 1994

Q158.The point at which the tangent to the curve y = x3 is parallel to the chord through points A (–1, –1) and B (2,8) is–

A(1,1) B(1,2) C(–1, 1) D(1, –1)

Show answer

EnglishUP PCS (Pre) 1995

Q159.A particle moves in a straight line and describe a distances s in time t given by 3 2 s t 6t 2t 1 Its acceleration becomes zero after–

A2 seconds B4 seconds C6 seconds D8 seconds

Show answer

EnglishUP PCS (Pre) 1995

Q160.On the curve 2 2 3 y ax ax (a 0) the origin is–

Aa node Ba cusp Ca conjugate point Dan isolated point

Show answer