Question

║⊕QUESTION⊕║
Go down deep enough into anything and you will find mathematics.
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CLASS 11
THE PARABOLA
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If b and c are the lengths of the segments of any focal chord of a parabola $y^{2} = 4ax$, find the length of the semi latus rectum.

Answer 1

◆【Solution】◆

Here we can use a basic formula based on the relation between the segments of focal chord of parabola and with "a".

• Let P be the one point of interaction of focal chord with parabola
• Let Q be the focus of the parabola
• Let R be the other point of intersection

Than acc to the relation

For parabola y² = 4ax

(PQ)(QR)/(PQ + QR) = a

Acc to question

PQ = b

QR = c

Than a = b×c/(b+c)......(1)

For parabola y² = 4ax

Length of Latus rectum = 4a

Length of semi Latus rectum = 2a

Acc to (1)

Length of semi Latus rectum = 2×b×c/(b+c)

◆【2b×c/(b+c)】◆

Sorry for mistake....

Answer 2

Answer:

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