Q.

The straight lines represented by (y−mx)2=a2(1+m2) and (y−nx)2=a2(1+n2) form a

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya

a

rectangle

b

rhombus

c

trapezium

d

None of these

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

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

Take Free Test

Detailed Solution

The straight lines represented by (y−mx)2=a2(1+m2) are y−mx=±a1+m2i.e.,y−mx=a1+m2 (1) and y−mx=−a1+m2(2) Similarly, the straight lines represented by (y−nx)2=a2(1+n2) are y−nx=a1+n2(3) and y−nx=−a1+n2 (4) Since the lines (1) and (2) are parallel, the distance between them is |a1+m2+a1+m21+m2|=|2a|Similarly, the lines (3) and (4) are parallel lines and the distance between them is |2a|.Since the distance between parallel lines are the same, the four lines form a rhombus.
Watch 3-min video & get full concept clarity
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon