# If one of the two lines given by ax2+2hxy+by2=0 bisects the angle  between the coordinate axes, then:

1.  a2+b2=2h2

2.  a2+b2=h2

3.  (a+b)2=h2

4.  (a+b)2=4h2

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(a+b)<sup>2</sup>=4h<sup>2</sup>

Explanation :
No Explanation available for this question

# The polar of (-2, 3) with respect to x2+y2-4x-6y+5=0 is:

1.  x = 0

2.  y = 0

3.  x = 1

4.  y = 1

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x = 0

Explanation :
No Explanation available for this question

# Equation of the tangent at (1, 1) to the circle 2x2+2y2-2x-5y+3=0 is:

1.  2x+y-1=0

2.  2x-y-1=0

3.  x+2y-1=0

4.  2x+y+1=0

4

2x-y-1=0

Explanation :
No Explanation available for this question

# Given the circle x2+y2=25, the equation of its chord with (1,-1) as the midpoint:

1.  x+y=2

2.  x+y+2=0

3.  x-y=2

4.  2x-y=2

4

x-y=2

Explanation :
No Explanation available for this question

# If (0,0) is one limiting point of coaxial system of circles whose common radical axis is the line x+y=1, then the other limiting point is:

1.  (1,1)

2.  (-1,-1)

3.  (1,-1)

4.  (-1,1)

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(1,1)

Explanation :
No Explanation available for this question

# The angle between the curves y2=4ax and ay=2x2 is:

1.  tan-1(3/4)

2.  tan-1(3/5)

3.  tan-1(4/3)

4.  tan-1(5/3)

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tan<sup>-1</sup>(3/5)

Explanation :
No Explanation available for this question

# The approximate percentage reduction in the volume of a cube of ice, if each side of the ice cube to reduced by 0.7% due to melting to:

1.  2.1%

2.  2.5%

3.  3.2%

4.  3.3%

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2.1\%

Explanation :
No Explanation available for this question

# If the rate of decrease of x2/2-2x+5 is twice the rate of decrease of x, then x is:

1.  2

2.  3

3.  4

4.  1

4

4

Explanation :
No Explanation available for this question

# If the length of a simple pendulum to decreased by 3%, the present error in its period T is:

1.  2%

2.  2.5%

3.  1.8%

4.  1.5%

4

1.5\%

Explanation :
No Explanation available for this question

# (1-cosθ+isinθ)8 is equal to:

1.  256sin8(θ/2)(cos4θ+isin4θ)

2.  256cos8(θ/2)(cos4θ-isin4θ)

3.  256sin8(θ/2)(sin4θ-icos4θ)

4.  256sin8(θ/2)(cos4θ - isin4θ)

4