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

If two vertices of a triangle are (1,3) and(4,-1) and the area of triangle is 5sq.units then the angle at the vertex lies in ___________.

If two vertices of a triangle are (1,3) and(4,-1) and the area of triangle is 5sq.units then the angle at the vertex lies in ___________.

Grade:11

2 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
one year ago
576-1577_1.PNG
Arun
25763 Points
one year ago

Let the third point on the line y = x + 3 be

(a, a + 3)

Shifting origin to (2, 1), the three vertices are

(0, 0) (a-2, a+2) and (1, - 3)

 

Area, 5 = (1/2) modulus of determinant formed by (a-2, a+2) and (1, - 3)

=> - 3(a - 2) - a - 2 = 10 or - 10

=> - 4a = 6 or - 4a = - 14

=> a = - 1.5 or 3.5

 

=> the third vertex is

(- 1.5, 1.5) or (3.5, 6.5).

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