jee-main 2020 Q66

jee-main · India · session1_09jan_shift2 Standard Integrals and Reverse Chain Rule Verify or Prove an Antiderivative/Integral Identity

If $\int \frac { d \theta } { \cos ^ { 2 } \theta ( \tan 2 \theta + \sec 2 \theta ) } = \lambda \tan \theta + 2 \log _ { e } | f ( \theta ) | + C$ where $C$ is a constant of integration, then the ordered pair $( \lambda , f ( \theta ) )$ is equal to:
(1) $( 1,1 - \tan \theta )$
(2) $( - 1,1 - \tan \theta )$
(3) $( - 1,1 + \tan \theta )$
(4) $( 1,1 + \tan \theta )$

If $\int \frac { d \theta } { \cos ^ { 2 } \theta ( \tan 2 \theta + \sec 2 \theta ) } = \lambda \tan \theta + 2 \log _ { e } | f ( \theta ) | + C$ where $C$ is a constant of integration, then the ordered pair $( \lambda , f ( \theta ) )$ is equal to:\\
(1) $( 1,1 - \tan \theta )$\\
(2) $( - 1,1 - \tan \theta )$\\
(3) $( - 1,1 + \tan \theta )$\\
(4) $( 1,1 + \tan \theta )$

Paper Questions

Q51 Q52 Q53 Q54 Q55 Q56 Q57 Q58 Q59 Q60 Q61 Q62 Q63 Q64 Q65 Q66 Q67 Q68