Question
$\cos \theta=\frac{a^2+b^2}{2 a b}$, where $a$ and $b$ are two distinct numbers such that $a b>0$.

Answer

False

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

Similar questions

If the length of an arc of a circle of radius r is equal to that of an arc of a circle of radius $2r$, then the angle of the corresponding sector of the first circle is double the angle of the corresponding sector of the other circle. Is this statement false Why?
Write ‘True’ or ‘False’ and justify your answer.
If angle between two tangents drawn from a point P to a circle of radius a and centre O is 90°, then $\text{OP}=\text{a}\sqrt{2}.$
If a quadratic polynomial f(x) is a square of a linear polynomial, then its two zeros are coincident.(True/ False).
The value of $\sin \theta$ is $x+\frac{1}{x}$, where ' $x$ ' is a positive real number.
Two numbers have 12 as their HCF and 350 as their LCM (True/ False).
State whether the following are true or false. Justify your answer.The value of $\sin \theta$ increases as $\theta$ increases.
The ratio of the corresponding altitudes of two similar triangles is $\frac{3}{5}.$ Is it correct to say that ratio of thier areas is $\frac{6}{5}?$ Why?
Write ‘True’ or ‘False’ and justify your answer.
The angle between two tangents to a circle may be 0°.
Write ‘True’ or ‘False’ and justify your answer.
The angle of elevation of the top of a tower is 30°. If the height of the tower is doubled, then the angle of elevation of its top will also be doubled.
Write ‘True’ or ‘False’ and justify your answer in the following:
A solid ball is exactly fitted inside the cubical box of side a. The volume of the ball is $\frac{4}{3}\pi\text{a}^3.$