# The minimum value of (x - α) (x - β) is:

1.  0

2.  αβ

3.  (1/4)(α-β)2

4.  -(1/4)(α-β)2

4

-(1/4)(α-β)2

Explanation :
No Explanation available for this question

# If the direction ratio of two lines are given by 3lm-4ln+mn =0 and l+2m+3n=0,then the angle between the lines, is

1.  π/6

2.  π/4

3.  π/3

4.  π/2

4

&#960;/2

Explanation :
No Explanation available for this question

# The equation of tangent to the curve 6y = 7-x3  at (1, 1) is:

1.  2x+y = 3

2.  x+2y = 3

3.  x+y = -1

4.  x+y+2 = 0

4

x+2y = 3

Explanation :
No Explanation available for this question

# The area (in square units) of the region bounded by x2 = 8y, x = 4 and x-axis,is:

1.  2/3

2.  4/3

3.  8/3

4.  10/3

4

8/3

Explanation :
No Explanation available for this question

# A plane π makes intercepts 3 and 4 respectively on z-axis.If π is parallel to y-axis,then its equation is

1.  3x+4z =12

2.  3z+4x =12

3.  3y+4z =12

4.  3z+4y =12

4

3z+4y =12

Explanation :
No Explanation available for this question

# The maximum value of xy subject to x+y = 7 is:

1.  10

2.  12

3.  49/4

4.  55/4

4

49/4

Explanation :
No Explanation available for this question

# The equation of the plane passing through (1,1,1) and (1,-1,-1) and perpendicular to 2x-y+z+5=0,is

1.  2x+5y+z-8=0

2.  x+y-z-1=0

3.  2x+5y+z+4=0

4.  x-y+z-1=0

4

x-y+z-1=0

Explanation :
No Explanation available for this question

# If the circle x2+y2+6x-2y+k=0 bisects the circumference of the circle x2+y2+2x-6y-15=0,then k is equal to

1.  21

2.  -21

3.  23

4.  -23

4

-23

Explanation :
No Explanation available for this question

# If P is a point such that the ratio of the square of the lengths of the tangents from P to the circles x2+y2-4x+2y-44=0 is 2:3,then the locus of P is a circle with centre

1.  (7,-8)

2.  (-7,8)

3.  (7,8)

4.  (-7,-8)

4

(-7,8)

Explanation :
No Explanation available for this question

1.  xux=yuy

2.  yux=xuy

3.  yux+xuy=0

4.  x2uy+y2ux=0

4