Thank you for registering.

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

Please check your email for login details.
Close
MY CART (5)

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

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

⇐ BackProceed to Checkout ⇒
There are no items in this cart.
Continue Shopping

a line is drawn through a point [1,2] to meet the coordinate axis at P and Q such that the area of triangle OPQ where o is origin is LEAST then slope of line PQ is.... a.-1/2 b.-2 c.-1/4 d.-4

a line is drawn through a point [1,2] to meet the coordinate axis at P and Q such that the area of triangle OPQ where o is origin is LEAST then slope of line PQ is....

a.-1/2 b.-2 c.-1/4 d.-4

Grade:7

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
7 years ago
Ans. -2
Equation of line with x-intercept ‘a’ and y-intercept ‘b’ is:
\frac{x}{a} + \frac{y}{b} = 1
OP = a, OQ = b
Area of triangle OPQ = A = ½ ab
Line is passing through [1,2],
\frac{1}{a} + \frac{2}{b} = 1
b = \frac{2a}{a-1}
A = \frac{a^{2}}{a-1}
To minimize the area, dA/da = 0
\frac{dA}{da} = \frac{a^{2}-2a}{(a-1)^{2}} = 0
a = 0, 2
At a = 0, Area = 0 Not Possible
a = 2 is minima
b = \frac{2a}{a-1} = 4
Slope = \frac{-b}{a} = \frac{-4}{2} = -2
Cheers!
Thanks & Regards
Jitender Singh
IIT Delhi
askIITians Faculty

Think You Can Provide A Better Answer ?

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

Other Related Questions on Analytical Geometry

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Register ICAT

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More