# If x + y +7 =0 is a tangent to the circle x2 + y2 - 4x -6y +k=0 then the point of contact is

1.  (-4, -3)

2.  (-3, -4)

3.  (0, 7)

4.  (7, 0)

4

(-4, -3)

Explanation :
No Explanation available for this question

# i) The coaxial system x2 + y2 + 2λx + 5=0 is a non intersecting system ii) The coaxial system x2 + y2

1.  Only I

2.  only ii

3.  Both i & ii

4.  Neither i nor ii

4

Both i & ii

Explanation :
No Explanation available for this question

# The normal to the circle x2 + y2 +2x -10y +k=0 which is perpendicular to x -3y +2=0 is

1.  3x + y=4

2.  3x + y=2

3.  3x +y=0

4.  x + 3y +2=0

4

3x + y=2

Explanation :
No Explanation available for this question

# The distance of (1, -2) from the common chord of x2 + y2 – 5x + 4y – 2 =0 and x2 + y2 – 2x + 8y + 3 =0

1.  2

2.  1

3.  0

4.  3

4

0

Explanation :
No Explanation available for this question

# The length of the intercept made by the normal at (1, 6) of the circle x2 + y2 – 4x – 6y+3=0 between the coordinate axes is

1.  √(5/2)

2.  3√10

3.  2√5

4.  √5

4

3√10

Explanation :
No Explanation available for this question

# A circle is inscribed in an equilateral triangle of side ‘a’, Then the area of any square inscribed in this circle is

1.  a2/3

2.  a2/6

3.  2a2/3

4.  a2/√3

4

a2/6

Explanation :
No Explanation available for this question

# The angle between the normals at (1, 3),(-3,1) to the circle x2 + y2=10 is

1.  π/6

2.  π/4

3.  π/3

4.  π/2

4

π/2

Explanation :
No Explanation available for this question

# If the length of the tangent from (1, 1) to the circle 2x2 + 2y2 – 4x – 6y+k=0 is 5 units then k-1 =√

1.  43

2.  55

3.  30

4.  31

4

55

Explanation :
No Explanation available for this question

# Length of the tangent to the circle x2 + y2 =4 drawn from the image of origin with respect to 3x + 4y +25 =0 is

1.  6√8

2.  9√6

3.  √96

4.  √9

4

√96

Explanation :
No Explanation available for this question

1.  (-2, -4), 5

2.  (4, 2),5

3.  (2, 4),5

4.  (-4, -2),5

4