# If the pair of straight lines xy - x - y + l = 0 and the line ax + 2y - 3a = 0 are concurrent, then a is equal to

1.  0

2.  1

3.  -1

4.  3

4

1

Explanation :
No Explanation available for this question

# The acute angle between the two lines whose direction ratios are given by l + m - n = 0 and l2 + m2 - n2 = 0 is

1.  0

2.  π / 6

3.  π / 4

4.  π / 3

4

&#960; / 3

Explanation :
No Explanation available for this question

# The direction ratios of normal to the plane passing through (0,0,1), (0,1,2) and (1,0,3) are

1.  (2, 1, -1)

2.  (1, 0, 1)

3.  (0, 0, -1)

4.  (1, 0, 0)

4

(2, 1, -1)

Explanation :
No Explanation available for this question

# If P = (0, 1, 0), Q = (0, 0, 1), then the projection of PQ on the plane  x + y + z = 3 is

1.  2

2.  3

3.  -√2

4.  √3

4

-√2

Explanation :
No Explanation available for this question

# In the space the equation by +cz + d = 0 represents a plane perpendicular to the

1.  YOZ plane

2.  ZQX plane

3.  XOY plane

4.  none of these

4

YOZ plane

Explanation :
No Explanation available for this question

# A plane 'x' passes through the point (1, 1, 1). If b, c, a  are the direction ratios of a normal to the plane, where a, b, c {a < b < c) are the prime factors of 2001, then the equation of the plane &

1.  29x + 31y + 3z = 63

2.  23x + 29y - 29z = 23

3.  23x + 29y + 3z = 55

4.  31x + 37y + 3z = 71

4

23x + 29y + 3z = 55

Explanation :
No Explanation available for this question

1.  y(∂z /∂y)

2.  -y(∂z /∂y)

3.  2y(∂z /∂y)

4.  2y(∂z /∂x)

4

-y(∂z /∂y)

Explanation :
No Explanation available for this question

# The equation of the circle of radius 5 and touching the co-ordinate axes in third quadrant is

1.  (x-5)2 + (y+5)2 = 25

2.  (x + 5)2 + (y+5)2=25

3.  (x+4)2 + (y + 4)2=25

4.  (x + 6)2 + (y + 6)2=25

4

(x + 5)<sup>2</sup> + (y+5)<sup>2</sup>=25

Explanation :
No Explanation available for this question

# The radius of the larger circle lying in the first quadrant and touching the line 4x+ 3y - 12=0 and the co-ordinate axes is

1.  5

2.  6

3.  7

4.  8

4

6

Explanation :
No Explanation available for this question

1.  3

2.  1

3.  -2

4.  2

4