If , then the equation
has, in the interval
at least one root
at least 4 roots
no root
none of these
Also
Moreover, as are continuous and differentiable in
for
is also continuous and differentiable in
Hence, by Rolle's theorem, there exists a real number
in
such that
Hence option 1 is correct.
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