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2 months ago

Parabola Graph Maths NCERT Exemplar Solutions Class 12th Chapter Six

Let the focal chord of the parabola P : y2 = 4x along the line L : y = mx + c, m > 0 meet the parabola at the points M and N. Let the line L be a tangent to the hyperbola H : x2 – y2 = 4. If O is the vertex of P and F is the focus of H on the positive x-axis, then the area of the quadrilateral OMFN is:
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Vishal Baghel

Contributor-Level 10

L : y = mx + c, m > 0

y = m (x – 1)

x24−y24=1

y=mx±4m2−4

±4m2−4=−m, m>0

⇒4m2−4=m

M (5+212, 3+7), N (5−212, 3−7)

=2 (27)=2

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