The locus of poles of lx+my+n=0 with respect to a variable circle passing through the points (a,0) and (-a,0) is

1.  my2-lxy+ny+a2l=0

2.  mx2-lxy+nx+a2l=0

3.  ly2-mxy+nx+a2l=0

4.  lx2-mxy+ny+a2l=0

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4
Correct Answer :

ly2-mxy+nx+a2l=0


Explanation :
No Explanation available for this question

For all values of λ, the polar of the point (2λ, λ-4) with respect to the circle x2+y2-4x-6y+1=0 passes through the fixed point

1.  (1,-3)

2.  (-3,-1)

3.  (3,1)

4.  (2,-3)

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4
Correct Answer :

(3,1)


Explanation :
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The probability of a man hitting the target is 4.If he fires 7 times, the probability of hitting the target excatly six times is

1.  (1/4)6

2.  1-(3/4)1

3.  

4.  

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4
Correct Answer :


Explanation :
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A and B play a game in which As chance of winning is 1/5.In a series of 6 games, the probability that A will win atleast three games is

1.  

2.  

3.  

4.  

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4
Correct Answer :


Explanation :
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The locus of the point of intersection of the tangents at the ends of a chord of a circle x2+y2=a2 which touches the circle x2+y2-2ax=0 is

1.  x2+y2=(y-a)2

2.  x2+y2=(x-a)2

3.  x2=a(a-2x)

4.  y2=a(a+2x)

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4
Correct Answer :

x2+y2=(x-a)2


Explanation :
No Explanation available for this question

The area of the triangle formed by the polar of (1,2) with respect to the circle 2x2+2y2-3x=0 and the coordinate axes (in square units) is

1.  9/112

2.  3/8

3.  9/16

4.  3/16

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4
Correct Answer :

9/16


Explanation :
No Explanation available for this question

The polar of (-3,5) w.r.t x2+y2-2x-4y+3=0 cuts the circle, its midpoint is

1.  (-17/25, -56/25)

2.  (17/25, 56/25)

3.  (17/25, -56/25)

4.  (-17/25, 56/25)

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4
Correct Answer :

(17/25, 56/25)


Explanation :
No Explanation available for this question

The polar of the point on the circle x2+y2=p2 with respect to the circle x2+y2=q2 touches the circle x2+y2=r2, their p, q, r are i

1.  Arithmetic, geometric progressions

2.  Harmonic

3.  Geometric

4.  Arithmetic

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4
Correct Answer :

Geometric


Explanation :
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If the polars of the points on the circle x2+y2=a2 with respect to the circle x2+y2=c2 touches the circle x2+y2=b2 then

1.  c=2ab/(a+b)

2.  c=√(ab)

3.  b,a,c are in A.P

4.  a,b,c are in G.P

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4
Correct Answer :

c=√(ab)


Explanation :
No Explanation available for this question

The equation of the circle which touch the y-axis and having the pair of lines x2-y2-8x+4y+12=0 as normals is

1.  x2+y2+8x+4y+4=0

2.  x2+y2-4x-2y+1=0

3.  x2+y2-8x-4y+4=0

4.  x2+y2+4x+2y+1=0

View Answer  
4
Correct Answer :

x2+y2-8x-4y+4=0


Explanation :
No Explanation available for this question
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