# A variable plane is at a constant distance 3p from the origin and meets the axes in A,B and C.The locus of the centroid of the triangle ABC is

1.  x2 + y2 + z2 = p-2

2.  x-2 + y-2 + z-2 =3p-2

3.  x-2 + y-2 + z-2 = 9p-2

4.  x-2 + y-2 + z-2 =16p-2

4

x2 + y2 + z2 = p-2

Explanation :
No Explanation available for this question

# The figure confirmed by the lines 2x+5y+4=0,5x+2y+7=0, 2x+5y+3=0, 5x+2y+6=0

1.  Parallelogram

2.  Rhombus

3.  Rectangle

4.  Square

4

Rhombus

Explanation :
No Explanation available for this question

# If the algebraic sum of the perpendicular distances from the points(2,0),(0,2),(4,4) to a variable line is equal to zero. Then the line passes through the point

1.  (2,2)

2.  (2,1)

3.  (1,2)

4.  (-1,-1)

4

(2,2)

Explanation :
No Explanation available for this question

# The value of λ such that 2x2-10y+12y2+5x+λy-3=0 represents a pair of lines is

1.  -10

2.  -9

3.  10

4.  9

4

-9

Explanation :
No Explanation available for this question

# The orthocenter of the triangle whose sides are given by 4x-7y+10=0,x+y-5=0 and 7x+4y-15=0

1.  (-1,-2)

2.  (1,0)

3.  (-1,2)

4.  (1,2)

4

(1,2)

Explanation :
No Explanation available for this question

# =

1.  e

2.  2009

3.  2010

4.  2011

4

2011

Explanation :
No Explanation available for this question

# If R→R is continuous such that

1.  100

2.  101

3.  200

4.

4

Explanation :
No Explanation available for this question

# =

1.  3/

2.  1/

3.  -3/

4.  -1/

4

-3/

Explanation :
No Explanation available for this question

# If y=2ax and (dy/dx)=log256 at x=1,then a=

1.  0

2.  1

3.  2

4.  3

4

2

Explanation :
No Explanation available for this question

# At a given instant the legs of a right angled triangle are 8 inch and 6 inch respectively. The first leg decreases1inch per minute and second increases at 2 inch per minute. The rate of increasing of the area after 2 minute is

1.  1 sq.inch/min

2.  2sq.inch/min

3.  3 sq.inch/min

4.  4 sq.inch/min

4