Radical centre of x2+y2-x+3y-3=0,x2+y2-2x+2y+2=0 and x2+y2+2x+3y-9=0

1.  (-3,-2)

2.  (-2,3)

3.  (3,2)

4.  (2,3)

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4
Correct Answer :

(2,3)


Explanation :
No Explanation available for this question

If y = xn-1 log x then xy1-(n-1)y =

1.  xn-2

2.  xn-1

3.  xn

4.  xn+1

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4
Correct Answer :

xn-1


Explanation :
No Explanation available for this question

If (1,2),(4,3) are the limiting points of coaxal system,then the equation of the circle in its conjugate system having minimum area is

1.  x2+y2+5x+5y-10=0

2.  x2+y2-2x-2y+10=0

3.  x2+y2-8x-6y+25=0

4.  x2+y2-5x-5y+10=0

View Answer  
4
Correct Answer :

x2+y2-5x-5y+10=0


Explanation :
No Explanation available for this question

D10 (x2Sin 3x) =

1.  -310 x2Sin 3x + 20. 39 x Cos3x+90.38 Sin 3x

2.  -310 x2Sin 3x

3.  0

4.  1

View Answer  
4
Correct Answer :

-310 x2Sin 3x + 20. 39 x Cos3x+90.38 Sin 3x


Explanation :
No Explanation available for this question

Two circles of radii 3,4 intersect orthogonally,then the length of the common chord is

1.  25/24

2.  24/5

3.  24/25

4.  12/5

View Answer  
4
Correct Answer :

24/5


Explanation :
No Explanation available for this question

If y = sin-1 x-sin-1√1- x2 then d2y/dx2=

1.  2/√1- x2

2.  2x/ (1- x2)3/2

3.  2/ (1- x2)3/2

4.  -2x/ (1- x2)3/2

View Answer  
4
Correct Answer :

2x/ (1- x2)3/2


Explanation :
No Explanation available for this question

The vertex and focus of a parabola are (0,0)and(0,4) then its directrix is

1.  y+4=0

2.  y+5=0

3.  y+6=0

4.  y+8=0

View Answer  
4
Correct Answer :

y+4=0


Explanation :
No Explanation available for this question

D8 (3x Cos x) =

1.  exlog3Cos[x+8Tan-1(log3e)]

2.  [(log 3)2+1]4 exlog3Cos (x+8Tan-1 log3e)

3.  [1+(log 3)2]8 e8xlog3Cos [x+4∏ ]

4.  [(log 3)2+1]4 exlog3Cos [∏+8Tan-1(loge3)]

View Answer  
4
Correct Answer :

[(log 3)2+1]4 exlog3Cos (x+8Tan-1 log3e)


Explanation :
No Explanation available for this question

The radius of one circle is twice the radius of another circle whose centres are (2,0),(1,2) respectively cutting orthogonally.Then the radius of the first circle is

1.  5

2.  3

3.  2

4.  1

View Answer  
4
Correct Answer :

2


Explanation :
No Explanation available for this question

The function y = (x2+1)50 should be differentiated n times to result in polynomial of the 30th degree, then n is equal to

1.  20

2.  30

3.  50

4.  70

View Answer  
4
Correct Answer :

70


Explanation :
No Explanation available for this question
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