# The length of the chord of the parabola x2 = 4ay passing through the vertex and havinh slope tan α is

1.  4a cosec α cot α

2.  4a tan α sec α

3.  4a cos α cot α

4.  Ta sin α tan α

4

4a tan α sec α

Explanation :
No Explanation available for this question

# In the parabola y2 = 4ax, the length of the chord passing through the vertex and inclined to the axis at π/4 is

1.  4a √2

2.  2a √2

3.  a√2

4.  none

4

4a √2

Explanation :
No Explanation available for this question

# The length of the chord intercepted bt the parabola y = x2 + 3x  on the line x + y = 5 is

1.  3 √26

2.  2√26

3.  2√2

4.  None

4

2√2

Explanation :
No Explanation available for this question

# If  the line y = mx + a meets the parabola y2 = 4ax in two points whose abscissa are x1 and x2, then x1 + x2 = 0 if

1.  M = -1

2.  M = 1

3.  M = 2

4.  M = -1/2

4

M = 2

Explanation :
No Explanation available for this question

# The portion of the tangent intercepted between the point of contact and the directrix of the parabola y2 = 4ax subtends at the focus at an angle of

1.  300

2.  450

3.  600

4.  900

4

900

Explanation :
No Explanation available for this question

# The portion of the tangent intercepted between the point of contact and the directrix of the parabola y2 = 4ax subtends at the focus at an angle of

1.  300

2.  450

3.  600

4.  900

4

900

Explanation :
No Explanation available for this question

# The angle subtended at the focus by the normal chord of a parabola y2= 4ax at a point whose ordinate equal to abscisa is

1.  Focus

2.  Vertex

3.  End of the latusrectum

4.  None

4

Focus

Explanation :
No Explanation available for this question

# If the segment intercepted by the parabola y2 = 4ax with the line lx + my + n = 0 subtends a right angle at the vertex, then

1.  4al + n = 0

2.  4al + 4am + n = 0

3.  4am + n = 0

4.  Al + n = 0

4

4al + n = 0

Explanation :
No Explanation available for this question

# If the chord y = mx + c subtends a right angle at the vertex of the parabola y2 = 4ax, then the value of c is

1.  - 4am

2.  4am

3.  -2am

4.  2am

4

- 4am

Explanation :
No Explanation available for this question

1.  A.P

2.  G.P

3.  H.P

4.  None

4