AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

Quadrilateral EFGH is a rectangle in which J is the point of intersection of the diagonals as shown below.

Find the value of x if JF = 8x + 4 and EG = 24x – 8.

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

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given, quadrilateral EFGH is a rectangle in which J is the point of intersection of the diagonals.
Question Image

We know that a rectangle is a parallelogram in which the angles are at

90 ∘

.
Also, both of its diagonals are equal and bisect each other.
On the basis of this property, we can say that in the rectangle EFGH,

J F = E J = J G

Next, from the given diagram, we have,

E G = E J + J G E G = J F + J F E G = 2 J F

Substituting the values of EG and JF, as 24x – 8 and 8x + 4 respectively, we get,

24 x − 8 = 2 (8 x + 4)

Now, we will solve this equation for the value of x as follows,

24 x − 8 = 16 x + 8 24 x − 16 x = 8 + 8 8 x = 16 x = 168 x = 2

So, the value of x is obtained as 2.
Hence, the correct option is (1).

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

Ready to Test Your Skills?

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

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!