Class 11Mathematics10-1.Circle and System of CirclesGeometrical problems regarding circle and its properties
EasyThe perimeter of a certain sector of a circle is equal to the length of the arc of the semicircle. Then,the angle at the centre of the sector in radians is
- A$\pi-2$
- B$\pi+2$
- C$\frac{\pi}{3}$
- D$\frac{2 \pi}{3}$
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Similar Questions
Which of the following statements are true and which are false? In each case,give a valid reason for your answer.
$p:$ Each radius of a circle is a chord of the circle.
$p:$ Each radius of a circle is a chord of the circle.
Easy
View SolutionFind the circumcenter of the triangle formed by the points $(a \cos \alpha, a \sin \alpha)$,$(a \cos \beta, a \sin \beta)$,and $(a \cos \gamma, a \sin \gamma)$.
Difficult
View SolutionIf $\theta$ is the angle between the tangents from $(-1, 0)$ to the circle $x^2+y^2-5x+4y-2=0$,then $\theta$ is equal to
The equation of the chord of the circle $x^2+y^2-4x-10y+25=0$ having its midpoint at $(1,2)$ is
If the midpoint of the chord intercepted by the circle $x^2+y^2-8x+10y+5=0$ on the line $2x+y+2=0$ is $(h, k)$,then $k+4h=$
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