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

Find the co-ordinates of the point on the curve y=x^2+3x+4 the tangent passes through origin.

Find the co-ordinates of the point on the curve y=x^2+3x+4 the tangent passes through origin.

Grade:Select Grade

1 Answers

Yash Baheti IIT Roorkee
askIITians Faculty 97 Points
7 years ago
Hi,

Find the slope of tangent by differentation. The slope will be 2x+3, Here x is the point on the curve. Let it be h. So slope will he 2h+3. Equation of tangent passing through origin will be y = (2h+3)x.

Put the value of tangent in the curve and make discriminent zero as the tangent and curve has onl;y one solution. You wilol get h as +2 and -2, corresponding y coordinates will be +14 and +2.

So coordinates are 2, 14 and -2, 2.

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