MCQ
Coordinates of the orthocentre of the triangle whose sides are $x = 3,\,y = 4$ and $3x + 4y = 6$ is
- A$(0, 0)$
- B$(3, 0)$
- C$(0, 4)$
- ✓$(3, 4)$
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$f (\theta)=(\sin \theta+\cos \theta)^2+(\sin \theta-\cos \theta)^4$
Suppose the function $f$ has a local minimum at $\theta$ precisely when $\theta \in\left\{\lambda_1 \pi, \ldots, \lambda_{ T } \pi\right\}$, where $0<\lambda_1<\cdots<\lambda_r<1$. Then the value of $\lambda_1+\cdots+\lambda_r$ is. . . . .