# The middle term in the Leibniz expansion of D4 (ex sin x ) is

1.  6ex sin x

2.  - 6ex cos x

3.  - 6ex sin x

4.  4 ex sin x

4

- 6ex sin x

Explanation :
No Explanation available for this question

# AB is a focal chord of the parabola y2=4ax.If A=(4a,4a)then B=

1.  (a/4,-4a)

2.  (a/2,-a/2)

3.  (a/4,-a)

4.  (a/2,-a/4)

4

(a/4,-a)

Explanation :
No Explanation available for this question

# If t1 and t2 are the lengths of tangents drawn from two conjugate points A, B w.r.t the circle x2+y2=r2 then t12 + t22 =

1.  AB

2.  2AB

3.  AB2

4.  2AB2

4

AB2

Explanation :
No Explanation available for this question

# If 2x+y+a=0 is a focal chord of the parabola y2=-8x then a=

1.  -4

2.  4

3.  -2

4.  2

4

4

Explanation :
No Explanation available for this question

# The equation of tangent at θ on S ≡ x2 + y2 + 2gx+2fy+c =0

1.  (x + g) cos θ + (y + f)sin θ =r

2.  (x + g) cos θ + (y + f)sin θ =r2

3.  (x - g) cos θ + (y - f)sin θ =r

4.  (x - g) cos θ + (y - f)sin θ =r2

4

(x + g) cos θ + (y + f)sin θ =r

Explanation :
No Explanation available for this question

# The focus and directrix of a parabola (-1,1) and x+y+3=0.Its vertex is

1.  (1/2,5/2)

2.  (1/4,-7/4)

3.  (1/2,-7/4)

4.  (7/4,1/4)

4

(1/4,-7/4)

Explanation :
No Explanation available for this question

# The perpendicular distance of radical axis determined by the circles x2+y2+2x+4y-7=0 and x2+y2-6x+2y-5=0 from the origin is

1.  2/17

2.  1/5

3.  1/4

4.  1/√17

4

1/√17

Explanation :
No Explanation available for this question

# A circle is inscribed in an equilateral triangle of side ‘a’. The area of any square inscribed in this circle is

1.  a2/3

2.  a2/6

3.  2a2/3

4.  a2/√3

4

a2/6

Explanation :
No Explanation available for this question

# i)The coaxial system x2+y2+2λx+5=0 is a non intersecting system ii)The coaxial system x2+y2+4λx-3=0 is an inte

1.  neither i or ii

2.  Both i & ii

3.  Only ii

4.  Only i

4

Both i & ii

Explanation :
No Explanation available for this question

# If the centroid of an equilateral triangle is (1,1) and its one vertex is (-1, 2) then the equation of the circum circle is

1.  x2 + y2 - 2x-2y-3=0

2.  x2 + y2 + 2x-2y-3=0

3.  x2 + y2 + 2x+2y-3=0

4.  (x + y)2 + y2 =5

4