If α1, α2, α3, α4 are the roots of the equation 3x4-(l+m)x3+2x+5l=0 and Then (l.m)=

1.  (9,1)

2.  (-9,-1)

3.  (-6,-3)

4.  (6,3)

4

(6,3)

Explanation :
No Explanation available for this question

If α,β,γ are the roots of the equation 2x3-5x2+3x-1=0 then (1/αβ)+(1/βγ)+(1/γα)=

1.  -4

2.  -5

3.  5

4.  4

4

5

Explanation :
No Explanation available for this question

The locus of the poles of the line ax + by + c=0 with respect to the system of circles x2+y2=λ (λ is a variable) is a straight line whose slope is

1.  b/a

2.  -b/a

3.  a/b

4.  1

4

b/a

Explanation :
No Explanation available for this question

The pole of the line 8x – 2y – 11 =0 with respect to 2x2+ 2y2 =11 is

1.  (4, -1)

2.  (-4, -1)

3.  (-4, 1)

4.  (4, 1)

4

(4, -1)

Explanation :
No Explanation available for this question

If 3x4-27x3+36x2-5=0 then s1+s2=

1.  3

2.  21

3.  -21

4.  -3

4

21

Explanation :
No Explanation available for this question

If the inverse point of (0, 0) with respect to the circle x2+y2+gx + fy + c=0 is (p, q) then q=

1.  (-2fc)/(g2+f2 )

2.  (-2fc)/(g+f)

3.  (-fc)/2(g2+f2 )

4.  (-fc)/(g2+f2 )

4

(-2fc)/(g2+f2 )

Explanation :
No Explanation available for this question

(0, 0) is the centre of the circle passing through the vertices of an equilateral triangle. If the length of the median of the triangle is 9 units then equation of the circle is

1.  x2+y2=6

2.  x2+y2=3

3.  x2+y2=36

4.  x2+y2=9

4

x2+y2=36

Explanation :
No Explanation available for this question

If α,β,γ are the roots of the equation x3+ax2+bx+c=0 then

1.  ab/c

2.  (ab/c)-1

3.  (ab/c)-2

4.  (ab/c)-3

4

(ab/c)-3

Explanation :
No Explanation available for this question

A circle of radius ‘r’ passes through the origin O and cuts the axes at A and B. Locus of the centroid of triangle OAB is

1.  x2+y2=3r2

2.  x2+y2=r2

3.  9(x2+y2)=4r2

4.  x2 + y2=4r2

4

9(x2+y2)=4r2

Explanation :
No Explanation available for this question

1.  2√5

2.  10

3.  4

4.  5

4