Download App

Trigonometric Functions — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsTrigonometric Functions2 Marks
MCQ
In any triangle ABC , the value of $a\left(b^2+c^2\right) \cos A+b\left(c^2+a^2\right) \cos B+c\left(a^2+b^2\right)$ $\cos C$ is
  • A
    $3 abc ^2$
  • B
    $3 a ^2 bc$
  • ✓
    3 abc
  • D
    $3 a b^2 c$
✓

Answer

Correct option: C.
3 abc
(C) $a b^2 \cos A+b a^2 \cos B+a c^2 \cos A+c a^2 \cos C$ $+b c^2 \cos B+b^2 c \cos C$
$=a b(b \cos A+a \cos B)+a c(c \cos A+a \cos C)$ $+b c(c \cos B+b \cos C)$
$=a b c+a b c+a b c=3 a b c$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "MCQ" from Trigonometric Functions→Trigonometric Functions — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

The value of the integral $\int_{-\pi}^\pi(\cos a x-\sin b x)^2 d x$, where a and b are integers, is
→
The value of $x$ which satisfies the equation $\tan ^{-1} x=\sin ^{-1}\left(\frac{3}{\sqrt{10}}\right)$ is
→
The matrix A satisfying $A \left[\begin{array}{ll}1 & 5 \\ 0 & 1\end{array}\right]=\left[\begin{array}{cc}3 & -1 \\ 6 & 0\end{array}\right]$ is
→
In a triangle $ABC , b =\sqrt{3}, c =1$ and $\angle A =30^{\circ}$, then the largest angle of the triangle is
→
At what point the slope of the tangent to the curve $x^2 + y^2 - 2x - 3 = 0$ is zero:
→
The equation $\sqrt{(x-2)^2+y^2}+\sqrt{(x+2)^2+y^2}=4$ represents a
→
If $A = \{a, b, c, d\},$ then a relation $R = \{(a, b), (b, a), (a, a)\}$ on $A$ is:
→
In $\triangle A B C$, if $\cot A, \cot B, \cot C$ be in $A$. $P$., then $a ^2, b^2, c ^2$ are in
→
The function $\text{f(x)}=\tan\text{x}$ is discontinuous on the set:
→
The maximum value of $\text{f}(\text{x})=\frac{\text{x}}{4+\text{x}+\text{x}^{2}}$ on $[-1, 1]$ is :
→