Statement -1 : The area enclosed between the parabolas y2−2y+4x+5=0 and x2+2x−y+2=0 is same as that of bounded by curves y2=−4x and x2=y.Statement – 2: Shifting of origin to point (h, k) does not change the bounded area

Book Online Demo

Check Your IQ

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

Statement -1 : The area enclosed between the parabolas $y^{2} - 2 y + 4 x + 5 = 0$ and $x^{2} + 2 x - y + 2 = 0$ is same as that of bounded by curves $y^{2} = - 4 x$ and $x^{2} = y$ .

Statement – 2: Shifting of origin to point (h, k) does not change the bounded area

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

If Statement-1 is TRUE and Statement-2 is FALSE

If both the statements are TRUE and Statement-2 is NOT the correct explanation of Statement-1.

If both the statements are TRUE and Statement-2 is the correct explanation of Statement-1.

If Statement-1 is FALSE and Statement-2 is TRUE

answer is A.

(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

Given curves are $y^{2} - 2 y + 4 x + 5 = 0 a n d x^{2} + 2 x - y + 2 = 0$ or ${(y - 1)}^{2} = - 4 (x + 1) a n d {(x + 1)}^{2} = y - 1$
Shifting origin to (-1, 1), equation of given curves changes to $y^{2} = - 4 x a n d X^{2} = Y$
Hence, statement -1 is true and statement-2 is correct explanation of statement -1.