If fx=x2-2x+4, then f(x) has:

1.  a minimum at x=1.

2.  a maximum at x=1.

3.  no extreme point.

4.  no minimum.

Subtopic:  Differentiation |
 66%
From NCERT
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The resultant of the forces P and Q is R. If Q is doubled, then the resultant also doubles in magnitude. Find the angle between P and Q.

1.  cos θ=Q2P

2.  cos θ=-4Q3P

3. cos θ=-2Q3P

4.  cos θ=-3P4Q

Subtopic:  Resultant of Vectors |
 56%
From NCERT
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If \(\overrightarrow{\mathbf{A}}{=}{2}\hat{i}+\hat{j}\;{\&}\;\overrightarrow{\mathbf{B}}{=}\hat{i}{-}\hat{j}\) , then the components of A along with B & perpendicular to B respectively will be:
1.  i^-j^2, 32i^+j^

2.  i^-j^2,- 23i^+j^

3.  i^-j^2, -32i^-j^

4.  i^-j^2, 23i^-j^

Subtopic:  Scalar Product |
 54%
From NCERT
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If \(\vec{a}\) is a vector and \(x\) is a non-zero scalar, then which of the following is correct?
1. \(x\vec{a}\) is a vector in the direction of \(\vec{a}\)
2. \(x\vec{a}\) is a vector collinear to \(\vec{a}\)
3. \(x\vec{a}\) and \(\vec{a}\) have independent directions
4. \(x\vec{a}\) is a vector perpendicular to \(\vec{a}\)

Subtopic:  Scalars & Vectors |
From NCERT
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The vector b, which is collinear with the vector a=(2, 1, -1) and satisfies the condition a.b=3 is-

1.  (1, 1/2, -1/2)

2.  (2/3, 1/3, -1/3)

3.  (1/2, 1/4, -1/4)

4.  (1, 1, 0)

Subtopic:  Scalar Product |
 53%
From NCERT
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If a, b and c are three non-zero vectors such that a+b+c=0, then the value of a.b+b.c+c.a will be:

1.  Less than zero

2.  equal to zero

3.  greater than zero

4.  3

Subtopic:  Scalar Product |
From NCERT
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If P+Q=P-Q and θ is the angle between P and Q, then

1.  θ=0°

2.  θ=90°

3.  P=0

4.  Q=0

Subtopic:  Resultant of Vectors |
From NCERT
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What is the torque of a force F=2i^-3j^+4k^ newton acting at a point r=3i^+2j^+3k^  metre about the origin? (Given: τ =r ×F)

1.  6i^-6j^+12k^ 

2.  17i^-6j^-13k^ 

3.  -6i^+6j^-12k^ 

4.  -17i^+6j^-13k^ 

Subtopic:  Vector Product |
 69%
From NCERT
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The momentum of a body moving in a straight line is p=t2+2t+1 kg m/s. Force acting on the body at t=2 sec will be: (\(Given: F=\frac{dp}{dt}\))

1.  6 N

2.  8 N

3.  4 N

4.  2 N

Subtopic:  Differentiation |
 87%
From NCERT
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Temperature of a body varies with time as T=T0+at2+b sintK, where T0 is the temperature in Kelvin at t=0 sec & a=2/π K/s2 & b=-K, then the rate of change of temperature dTdt at t=π sec is:

1.  8 K

2.  80 K

3.  8 K/sec

4.  80 K/sec

Subtopic:  Differentiation |
 57%
From NCERT
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