# The value of λ with | λ |  < 16 such that 2x2 - 10xy +12y2 + 5x + λy - 3 =0 represents a pair of straight lines , is

1.  -10

2.  -9

3.  10

4.  9

4

-9

Explanation :
No Explanation available for this question

# The area (in square units ) of the triangle formed by  x+y+1 = 0 and the pair of straight lines x2-3xy+2y2 = 0 is

1.  7/12

2.  5/12

3.  1/12

4.  1/6

4

1/12

Explanation :
No Explanation available for this question

# The locus of the point z = x + iy satisfying the equation |(z-1)/(z+1)| is given by :

1.  x = 0

2.  y = 0

3.  x = y

4.  x + y = 0

4

x = 0

Explanation :
No Explanation available for this question

# The pair of straight lines x2-3xy+2y2 = 0 and x2-3xy+2y2+ x -2 =0 form a

1.  square but not rhombus

2.  rhombus

3.  parellelogram

4.  rectangle but not a square

4

parellelogram

Explanation :
No Explanation available for this question

# The equations of the circles which pass through the origin and makes intercepts of lengths 4 and 8 on the x- and y-axis respectively are

1.  x2 + y2 + 4x + 8y =0

2.  x2 + y2 + 2x + 4y =0

3.  x2 + y2 + 8x + 16y =0

4.  x2 + y2 + x + y =0

4

x<sup>2</sup> + y<sup>2</sup> <u>+</u> 4x <u>+</u> 8y =0

Explanation :
No Explanation available for this question

# The equation of the locus of z such that |(z-i)/(z+i)|=2,where z = x + iy is a complex number, is

1.  3x2 + 3y2 +10y - 3 = 0

2.  3x2 + 3y2 +10y + 3 = 0

3.  3x2 - 3y2 - 10y - 3 = 0

4.  x2 + y2 -5y + 3 = 0

4

3x<sup>2</sup> + 3y<sup>2</sup> +10y + 3 = 0

Explanation :
No Explanation available for this question

# The product of the distinct (2n)th roots of 1 + i√3 is equal to :

1.  0

2.  -1 - i√3

3.  1 + i√3

4.  -1 + i√3

4

-1 - i&#8730;3

Explanation :
No Explanation available for this question

# sin 1200 cos 1500-cos 2400 sin 3300 is equal to :

1.  1

2.  -1

3.  2/3

4.  -2/3

4

-1

Explanation :
No Explanation available for this question

# cosec 150 +sec 150 is equal to :

1.  2√2

2.  √6

3.  2√6

4.  √6 + √2

4

&#8730;6 + &#8730;2

Explanation :
No Explanation available for this question

1.  12

2.  √120

3.  √20

4.  13

4