Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9
AI Mentor
Check Your IQ
Free Expert Demo
Try Test

Courses

Dropper NEET CourseDropper JEE CourseClass - 12 NEET CourseClass - 12 JEE CourseClass - 11 NEET CourseClass - 11 JEE CourseClass - 10 Foundation NEET CourseClass - 10 Foundation JEE CourseClass - 10 CBSE CourseClass - 9 Foundation NEET CourseClass - 9 Foundation JEE CourseClass -9 CBSE CourseClass - 8 CBSE CourseClass - 7 CBSE CourseClass - 6 CBSE Course
Offline Centres

Q.

If (3, -4) and (-6, 5) are the extremities of the diagonal of a parallelogram and (-2, 1) is its third vertex, then its fourth vertex is:

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.
An Intiative by Sri Chaitanya

a

(-1, 0)

b

(0, -1)

c

None of these 

d

(-1 , 1)

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

Given that, (3, -4) and (-6, 5) are the extremities of the diagonal and (-2, 1) is its third vertex.
We need to find the 4th vertex.
Let A(3, -4) and C(-6, 2) be the extremities of diagonal AC and B(-1,-3), D(x,y) the extremities of diagonal BD.
Midpoint of two point (x1,y1) & (x2,y2) is , (x1+x22,y1+y22).
Since the diagonals of a parallelogram bisect each other.
Therefore,
Coordinates of midpoint of AC = Coordinates of midpoint of BD.
(3+(-6)2,(-4)+22)=((-1)+x2,(-3)+y2)
Equating x coordinates,
⇒3-62=x-12 ⇒-32=x-12 ⇒x=-2 And, equating y coordinates,
⇒-4+22=y-32 ⇒-22=y-32 ⇒y=1 Thus, the coordinates of the fourth point is (-2,1).
Therefore, option (1) is correct.
 
Watch 3-min video & get full concept clarity

course

No courses found

Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Online Course for IIT JEE
Best Online Course for NEET
Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Online Course for IIT JEE
Best Online Course for NEET
Best Online Course for CBSE
whats app icon