Thank you for registering.

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

Please check your email for login details.
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

If the pairs of line represented by the equation (ax^2+2hxy+by^2+2gx+2fy+c=0) intersect each other on y axis which is not origin then which of following is/are true (a) g^2=ac (b) f^2=bc (c) 2fgh=bg^2+ch^2 (d) hc=gf

If the pairs of line represented by the equation (ax^2+2hxy+by^2+2gx+2fy+c=0) intersect each other on y axis which is not origin then which of following is/are true 
(a)  g^2=ac
(b)  f^2=bc
(c)  2fgh=bg^2+ch^2
(d)  hc=gf 

Grade:11

1 Answers

Nishant Vora IIT Patna
askIITians Faculty 2467 Points
4 years ago
the condition for this eqn to be a pair of sl is
223-2443_Capture.PNG…...............(1)
now both the straight line is intersecting on y axis
so x= 0

Put x= 0 inax^2+2hxy+by^2+2gx+2fy+c=0

soby^2 +2fy+c=0

Now for this Quadratic y1 = y2 as there is a unique point

So D=0

So4f^2 - 4bc = 0

Hence,f^2 - bc = 0

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free