Home
Class 12
MATHS
Show that the equation of the chord of t...

Show that the equation of the chord of the parabola `x^(2) = 4ay ` joining the points `(x_(1),y_(1))` ann `(x_(2),y_(2))` on it is `(x-x_(1))(x-x_(2))=x^(2)-4ay` .

Text Solution

Verified by Experts

The correct Answer is:
`(x-x_(1)) (x-x_(2))=x^(2)-4ay`
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    CHHAYA PUBLICATION|Exercise M . C. Q|16 Videos

  • PARABOLA

    CHHAYA PUBLICATION|Exercise Very Short Answer Type Qusetions|21 Videos

  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

  • PERMUTATION AND COMBINATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams E Assertion -Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

Show that the equation of the chord of the parabola y^(2) = 4ax through the points (x_(1),y_(1)) and (x_(2),y_(2)) on it is (y-y_(1))(y-y_(2)) = y^(2) - 4ax

Show that the equation of the chord of the parabola y^2=4ax through the points (x_1,y_1) and (x_2,y_2) on its (y-y_1)(y-y_2)=y^2-4ax.

Show that the equation of the cord.of the parabola x^2=4ay through (x_1,y_1) and (x_2,y_2) the points on its is (x-x_1)(x-x_2)=x^2-4ay.

The vertex of the parabola x^(2)-6x+4y+1=0 is

Show that the equation of the straight line joining the points (x_(1),y_(1))and(x_(2),y_(2)) can be expressed in the form (x-x_(2))(y-y_(1))=(x-x_(1))(y-y_(2)) .

The fouce of the parabola x^(2)-6x+4y+1=0 is

If a straight line passing through the focus of the parabola y^(2) = 4ax intersectts the parabola at the points (x_(1), y_(1)) and (x_(2), y_(2)) , then prove that x_(1)x_(2)=a^(2) .

The length of the common chord of the parabolas y^(2)=x and x^(2)=y is

Find the equation of tangents drawn to the parabola y=x^2-3x+2 from the point (1,-1)dot

If a straight line passing through the focus of the parabola x ^(2) =4ay intersects the parabola at the points (x_(1) , y_(1)) and (x_(2), y_(2)) then the value of x_(1)x_(2) is-