A line passing through A (1, -2) has slope 1. The points as the line at a distance of 4√2 units from A, are:

1.  (3, -6), (5, 2)

2.  (-3, 6), (5, -2)

3.  (-3, -6), (5, 2)

4.  (3, 6), (-5, 2)

View Answer  
4
Correct Answer :

(-3, -6), (5, 2)


Explanation :
No Explanation available for this question

If the point of intersection of kx+4y+2=0, x-3y+5=0 lies on 2x+7y-3=0, then k=

1.  2

2.  3

3.  -2

4.  -3

View Answer  
4
Correct Answer :

3


Explanation :
No Explanation available for this question

The equation of the line which touches both the curve y2=4x and 3x2-4y2=12 is:

1.  y=x-1

2.  x+2y+1=0

3.  y=x+1

4.  y=1-x

View Answer  
4
Correct Answer :

y=x+1


Explanation :
No Explanation available for this question

If 2x + 3y + 4=0 is the perpendicular bisector of the segment joining points A (1, 2) and B (α, β) then the value of (α+β) is:

1.  -81/13

2.  -136/13

3.  -135/13

4.  -134/13

View Answer  
4
Correct Answer :

-81/13


Explanation :
No Explanation available for this question

The point of intersection of straight lines represented by 6x2 + xy - 40y2 – 35x - 83y + 11 = 0 is:

1.  (3, 1)

2.  (3, -1)

3.  (-3, 1)

4.  (-3, -1)

View Answer  
4
Correct Answer :

(3, -1)


Explanation :
No Explanation available for this question

The difference of slope of pair of lines y2-2xysec2α+(3+tan2α)(-1+tan2α)x2=0 is:

1.  2

2.  4

3.  6

4.  8

View Answer  
4
Correct Answer :

4


Explanation :
No Explanation available for this question

Given that for the circle x2 + y2 - 4x + 6y + 1 = 0, the line with equation 3x – y = 1 is a chord. The middle point of the chord is:

1.  (2/5,11/5)

2.  (-2/5,11/5)

3.  (-2/5,-11/5)

4.  (2/5,-11/5)

View Answer  
4
Correct Answer :

(-2/5,-11/5)


Explanation :
No Explanation available for this question

The radical axis of co-axial system of circle with the limiting points (1, 2) and (4, 3) is given by in equation

1.  3x-y+10=0

2.  3x+y-10=0

3.  3x+y+10=0

4.  x+3y-10=0

View Answer  
4
Correct Answer :

3x+y-10=0


Explanation :
No Explanation available for this question

The product of length of perpendiculars from any point on the hyperbola (x2/a2) - (y2/b2) = 1to its asymptotes is:

1.  a2b2

2.  a2+b2

3.  (a2+b2)/a2b2

4.  a2b2/(a2+b2)

View Answer  
4
Correct Answer :

a<sup>2</sup>b<sup>2</sup>/(a<sup>2</sup>+b<sup>2</sup>)


Explanation :
No Explanation available for this question

If x+y+1=0, touches the parabola y2=kx, then the value of k is:

1.  -3

2.  3

3.  -4

4.  4

View Answer  
4
Correct Answer :

3


Explanation :
No Explanation available for this question
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