The number of circles that touch all the three lines x + y-l = 0, x-y-l=0 and y + 1 = 0 is :

1.  2

2.  3

3.  4

4.  1

View Answer  
4
Correct Answer :

4


Explanation :
No Explanation available for this question

Suppose    A, B    are    two    points    on 2x-y + 3=0  and  P(l, 2)&n

1.  ( -1/5, 13/5 )

2.  ( -7/5 , 9/5 )

3.  ( 7/5 , -9/5 )

4.  ( -7/5, -9/5 )

View Answer  
4
Correct Answer :

( -1/5, 13/5 )


Explanation :
No Explanation available for this question

The angle between the lines represented by y2sin2θ-xysin2θ+x2(cos2θ-1)=0 is

1.  π/3

2.  π/4

3.  π/6

4.  π/2

View Answer  
4
Correct Answer :

π/2


Explanation :
No Explanation available for this question

Area of the triangle formed by the lines 3x2 - 4 xy + y2 = 0, 2x - y = 6 is :

1.  16 sq. units

2.  25 sq. units

3.  36 sq. units

4.  49 sq. units

View Answer  
4
Correct Answer :

36 sq. units


Explanation :
No Explanation available for this question

If P1, P2, P3 are the perimeters of the three circles x2 + y2 + 8x - 6y = 0, 4x2 + 4y2 - 4x - 12y - 186

1.  P1<P2<P3

2.  P1<P3<P2

3.  P3<P2<P1

4.  P2<P3<P1

View Answer  
4
Correct Answer :

P1&lt;P3&lt;P2


Explanation :
No Explanation available for this question

If the direction ratio of two lines are given by l + m + n = 0, nm - 2ln + lm = 0, then theangle between the lines is :

1.  π/4

2.  π/3

3.  π/2

4.  0

View Answer  
4
Correct Answer :

π/2


Explanation :
No Explanation available for this question

If (2,-1, 3) is the foot of the perpendicular drawn from the origin to the plane, thenthe equation of the plane is :

1.  2x + y - 3z + 6 = 0

2.  2x - y + 3z -14 = 0

3.  2x - y + 3z -13 = 0

4.  2x + y + 3z -10 = 0

View Answer  
4
Correct Answer :

2x - y + 3z -14 = 0


Explanation :
No Explanation available for this question

If the plane 3x - 2y - z - 18 = 0 meets the coordinate axes in A,B,C then the centroid is :

1.  ( 2, 3, -6 )

2.  ( 2, -3, 6 )

3.  ( -2, -3, 6 )

4.  ( 2, -3, -6 )

View Answer  
4
Correct Answer :

( 2, -3, -6 )


Explanation :
No Explanation available for this question

If the line 3x - 2y + 6 = 0 meets X-axis and Y-axis respectively at A and B, then theequation of the circle with radius AB and centre at A is :

1.  x2 + y2 + 4x + 9 = 0

2.  x2 + y2 + 4x - 9 = 0

3.  x2 + y2 + 4x + 4 = 0

4.  x2 + y2 + 4x - 4 = 0

View Answer  
4
Correct Answer :

x<sup>2</sup> + y<sup>2</sup> + 4x - 9 = 0


Explanation :
No Explanation available for this question

A line l meets the circle x2 + y2 = 61 in A,B and P(-5,6) is such that PA = PB= 10.  Then the equation of l is :

1.  5x + 6y + 11 =0

2.  5x - 6y - 11 = 0

3.  5x - 6y + 11 = 0

4.  5x - 6y + 12 =0

View Answer  
4
Correct Answer :

5x - 6y + 11 = 0


Explanation :
No Explanation available for this question
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