1. Tardigrade
  2. Question
  3. Mathematics
  4. If the arcs of same length in two circles subtend angles of 60° and 75° at their centers, then the ratio of their radii is

Q. If the arcs of same length in two circles subtend angles of $60^{\circ}$ and $75^{\circ}$ at their centers, then the ratio of their radii is

KCETKCET 2022 Report Error

Solution:

By using the formula $s=r \theta$
we conclude that
$\frac{r_{1}}{r_{2}}=\frac{\theta_{2}}{\theta_{3}}=\frac{75}{60}=\frac{5}{4}$.

Questions from KCET 2022

1. It is observed that $23 x+17 y=1$ for some integers $x$ and $y$. Then $(x, y)=$

2. The sum of all the positive divisors of $180$ excluding $1$ and itself is

3. If $x+y+z=\pi$ then the value of $\begin{vmatrix}\sin (x+y+z) & \sin B & \cos z \\ -\sin B & 0 & \tan A \\ \cos (x+y) & -\tan A & 0\end{vmatrix}$ is

4. If the value of a third order determinant is $11 $ , then the value of the determinant formed by the cofactors will be

5. If $A=\begin{bmatrix}1 & -1 & 2 \\ 2 & 3 & 1 \\ 1 & -2 & 3\end{bmatrix}$ then $\text{adj}\left(A^{-1}\right)=$

Mathematics Most Viewed Questions

1. The solution of $\frac{dy}{dx} = \frac{y}{x}+\tan \frac{y}{x}$ is

WBJEE 2011 Differential Equations

2. The solution of the differential equation $\frac{dy}{dx} = (x +y)^2$ is

COMEDK 2009 Differential Equations

3. $\int\frac{1}{\sin x\, \cos x}$ dx is equal to

KEAM 2016 Integrals

4. If $\begin{bmatrix}1&- \tan\theta \\ \tan \theta&1\end{bmatrix}\begin{bmatrix}1&\tan \theta \\ - \tan \theta &1\end{bmatrix}^{-1} = \begin{bmatrix}a&-b\\ b&a\end{bmatrix}$ then

COMEDK 2009 Matrices

5. The value of $ \int{\frac{{{x}^{2}}+1}{{{x}^{4}}-{{x}^{2}}+1}}dx $ is

KEAM 2007 Integrals

Latest Updates