# If the roots of (z - 1)n = i(z + 1)n are plotted in the argand diagram they are:

1.  on a parabola

2.  concylic

3.  collinear

4.  the vertices

4

collinear

Explanation :
No Explanation available for this question

# If cosα + cosβ = 0 = sinα + sinβ, then cos2α + cos2β equals to:

1.  -2sin(α + β)

2.  -2cos(α + β)

3.  2sin(α + β)

4.  2cos(α + β)

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-2cos(α + β)

Explanation :
No Explanation available for this question

1.  -1

2.  0

3.  1

4.  2i

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1

Explanation :
No Explanation available for this question

# The equation of pair of lines through the point (a, b) parallel to co-ordinate axes is

1.  (x – b)(y – a) = 0

2.  (x – a)(y + b) = 0

3.  (x – a)(y – b) = 0

4.   (x + a)(y – b) = 0

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(x – a)(y – b) = 0

Explanation :
No Explanation available for this question

# If the equation λx2 – 5xy + 6y2 + x -3y=0, represents a pair of straight lines, then their point of intersection is

1.  (-3, -1)

2.  (-1, -3)

3.  (3, -1)

4.  (1, 3)

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(-3, -1)

Explanation :
No Explanation available for this question

# The centre of circle which touch the y-axis at (0, 3) and making an intercept of 2 units on the positive X - axis, is

1.  (10, √3)

2.  (√3, 10)

3.  (√10, 3)

4.  (3, (√10)

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(√10, 3)

Explanation :
No Explanation available for this question

# The slope m of a tangent through the point (7, 1) to the circle x2 + y2=25, satisfy the equation

1.  12m2 + 7m – 12 = 0

2.  16m2 – 24m + 9=0

3.  12 m2 – 7m – 12=0

4.  9m2 + 24m + 16 =0

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12 m2 – 7m – 12=0

Explanation :
No Explanation available for this question

# Two circles of equal radius 'r' cut orthogonally, if their centers are (2, 3) and (5, 6), then r is equal to

1.  1

2.  2

3.  3

4.  4

4

3

Explanation :
No Explanation available for this question

# The number of common tangents that can be drawn to the circles x2 + y2 = 1 and x2 + y2 –

1.  1

2.  2

3.  3

4.  4

4

4

Explanation :
No Explanation available for this question

# If (1, 2) is a limiting point of a co-axial system of circles containing the circle x2 + y2 + x -5y + 9=0, then the equation of radical axis is

1.  x + 3y + 9 =0

2.  3x – y + 4=0

3.  x + 9y – 4 =0

4.  3x – y- 1 =0

4