Maths-
General
Easy

Question

If the parabola y2 = 4ax passes through (3, 2), then length of latus rectum of the parabola is

  1. fraction numerator 2 over denominator 3 end fraction    
  2. fraction numerator 4 over denominator 3 end fraction    
  3. fraction numerator 1 over denominator 3 end fraction    
  4. 4    

The correct answer is: fraction numerator 4 over denominator 3 end fraction


    We have 4 = 4a × 3
    LSL' = 4a = fraction numerator 4 over denominator 3 end fraction

    Related Questions to study

    General
    maths-

    The locus of the poles of focal chord of the parabola y2 = 4ax is

    The locus of the poles of focal chord of the parabola y2 = 4ax is

    maths-General
    General
    maths-

    The locus of the mid points of the chords of the parabola y2 = 4ax which passes through a given point (β,proportional to)

    The locus of the mid points of the chords of the parabola y2 = 4ax which passes through a given point (β,proportional to)

    maths-General
    General
    maths-

    The equation of common tangent to the curves y2 = 8x and xy = –1 is

    The equation of common tangent to the curves y2 = 8x and xy = –1 is

    maths-General
    parallel
    General
    maths-

    Angle between tangents drawn from the point (1, 4) to the parabola y2 = 4x is

    Angle between tangents drawn from the point (1, 4) to the parabola y2 = 4x is

    maths-General
    General
    maths-

    The general equation of 2nd degree 9x2 –24xy + 16y2 – 20x –15y – 60 = 0 represents

    The general equation of 2nd degree 9x2 –24xy + 16y2 – 20x –15y – 60 = 0 represents

    maths-General
    General
    maths-

    If (2, 0) is the vertex and y-axis is the directrix of the parabola then its focus is

    If (2, 0) is the vertex and y-axis is the directrix of the parabola then its focus is

    maths-General
    parallel
    General
    maths-

    The equation of directrix of the parabola y2 + 4y + 4x + 2 = 0 is

    The equation of directrix of the parabola y2 + 4y + 4x + 2 = 0 is

    maths-General
    General
    maths-

    The parametric representation of a parabola is x = 3 + t2, y = 2t – 1. Its focus is - 

    The parametric representation of a parabola is x = 3 + t2, y = 2t – 1. Its focus is - 

    maths-General
    General
    physics-

    A disc of mass 2 M and radius R is placed on a fixed plank (rough) of length L. The coefficient of friction between the plank and disc is mu = 0.5. String (light) is connected to centre of disc and passing over a smooth light pulley and connected to a block of mass M as shown in the figure. Now the disc is given an angular velocity omega subscript 0 end subscript in clockwise direction and is gently placed on the plank. Consider this instant as t=0. Based on above information, answer the following questions : Mark the correct statement w.r.t. motion of block and disc.

    A disc of mass 2 M and radius R is placed on a fixed plank (rough) of length L. The coefficient of friction between the plank and disc is mu = 0.5. String (light) is connected to centre of disc and passing over a smooth light pulley and connected to a block of mass M as shown in the figure. Now the disc is given an angular velocity omega subscript 0 end subscript in clockwise direction and is gently placed on the plank. Consider this instant as t=0. Based on above information, answer the following questions : Mark the correct statement w.r.t. motion of block and disc.

    physics-General
    parallel
    General
    maths-

    The locus of the point of intersection of the tangents to the parabola x2 – 4x – 8y + 28 = 0 which are at right angle is - 

    The locus of the point of intersection of the tangents to the parabola x2 – 4x – 8y + 28 = 0 which are at right angle is - 

    maths-General
    General
    maths-

    An equilateral triangle is inscribed in the parabola y2 = 4ax whose vertices are at the parabola, then the length of its side is equal to -

    An equilateral triangle is inscribed in the parabola y2 = 4ax whose vertices are at the parabola, then the length of its side is equal to -

    maths-General
    General
    maths-

    If the tangent to the parabola y2 = ax makes an angle of 45º with x-axis, then the point of contact is

    If the tangent to the parabola y2 = ax makes an angle of 45º with x-axis, then the point of contact is

    maths-General
    parallel
    General
    maths-

    Two perpendicular tangents to y2 = 4ax always intersect on the line, if

    Two perpendicular tangents to y2 = 4ax always intersect on the line, if

    maths-General
    General
    maths-

    The equation of the tangent to the parabola y2 = 4ax at point (a/t2, 2a/t) is

    The equation of the tangent to the parabola y2 = 4ax at point (a/t2, 2a/t) is

    maths-General
    General
    maths-

    The line ellx + my + n = 0 will touch the parabola y2 = 4ax, if

    The line ellx + my + n = 0 will touch the parabola y2 = 4ax, if

    maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.