#### Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Click to Chat

1800-1023-196

+91-120-4616500

CART 0

• 0
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

# Show that the semi latus rectum of the parabola y^2=4ax is the harmonic mean between segments of any focal chord? Please sir answer fast!

Vikas TU
14149 Points
4 years ago
If PQ is a Focal Chord of a parabola y² = 4ax, a > 0,

whose focus is S, then the segments SP and SQ

of this chord are such that

... 1/(SP) + 1/(SQ) = 1/a

∴ 1/(SP) + 1/(SQ) = 2[ 1/(2a) ]

∴ Harmonic Mean of SP and SQ is 2a ........................................... Ans. : (b)
. . . . . . . . . . . . . . . . . . . . . . . . . . . .= (1/2)(4a)
. . . . . . . . . . . . . . . . . . . . . . . . . . . .= (1/2)( Latus Rectum )

∴ Harmonic Mean of Segments of a Focal Chord = Semi-Latus-Rectum.