ISI-SAMPLE-2014-15

Question

Comments

https://gateoverflow.in/321862/isi2015-mma-15

Answer 1

graph 1 : ${(9/10)}^x$

graph 2: $ -3 +x -x^2$

There is no intersection point, it has no real solution.

Answer 2

Answer is (C)1

Comments

I don't think is 1.

---

answer should be 0..

(9/10)^x  = -(x² - x + 3)

(9/10)^x = -[(x-(1/2))² + 11/4]

-(9/10)^{x =} (x-(1/2))² + 11/4

-(0.9)^x = (x-(1/2))² + 11/4

here , -(0.9)^x will always give negative values..so its graph will be below X-axis

and (x-(1/2))² + 11/4 is upward parabola which always give positive values..So, its graph will be above X-axis..

So, both graphs will never cut each other..So, no real solution will be existed..