If p(x) be a polynomial of degree three that has a local maximum value 8 at x=1 and a local minimum value 4 at x=2; then p(0) is equal to:
Option: 1 6
Option: 2 -12
Option: 3 -24
Option: 4 12
Since p(x) has relative extreme at x = 1 & 2
so p'(x) = 0 at x = 1 & 2
⇒ p'(x) = A(x – 1) (x – 2)
P(1) = 8
from (1)
From above
C = –12 So P(0) = C = -12
Study 40% syllabus and score up to 100% marks in JEE
5 g of Na2SO4 was dissolved in x g of H2O. The change in freezing point was found to be 3.820C. If Na2SO4 is 81.5% ionised, the value of x (K
A capacitor is made of two square plates each of side 'a' making a very small angle
A solution of m-chloroaniline, m-chlorophenol and m-chlorobenzoic acid in ethyl acetate was extracted initially with a saturated solution of NaHCO3 to give fraction A. The leftover organic phase was extracted with d