Solution of Sides of Triangle in a Circle

Q.

If $2sec2\alpha =\tan \beta +cot\beta$, then one of the value of $\alpha +\beta$ is

1. $\frac{\mathrm{\pi }}{4}$

2. $\frac{\mathrm{\pi }}{2}$

3. $\mathrm{\pi }$

4. $n\pi –\frac{\pi }{4},n\in I$

Q.

In the given figure, AC is a diameter, AB = BC & ∠AED = 118⁰.

Calculate ∠DAB

1. 70^o

2. 71^o

3. 73^o

4. 74^o

5. 72^o

Q. find the locus of poles of the normal chord of the ellipse x^2/a^2+y^2/b^2=1

Q.

Is centaral angle of a circle is 360..?

Q.

If the ratio of the arc AB to the circumference of a circle is 1:3, then measure of the angle subtended by the arc at the centre is

1. 72^o

2. 65^o

3. 172^o

4. 120^o

Q.

If AB is a chord of a circle with centre O. If $\angle AOB={50}^{\circ }$ and AB = 18 cm, then find the diameter of the circle. $sin{25}^{\circ }=0.42$

Q. In a circle, the length of any chord is double the product of the and the sine of half of the .

1. central angle
2. radius
3. diameter
4. secant

Q.

If $7si{n}^2\theta +3co{s}^2\theta =4$, then $sec\theta +cosec\theta$ is equal to

1. $\frac{2}{\sqrt{3}}-2$

2. $\frac{2}{\sqrt{3}}$

3. None of these

4. $\frac{2}{\sqrt{3}}+2$

Q. For any value of $\theta$, $si{n}^2\theta +co{s}^2\theta =$ _______ .

1. 0
2. $\frac{1}{2}$
3. 2
4. 1

Q.

$\frac{1}{1+ta{n}^2\theta }+\frac{1}{1+co{t}^2\theta }=$

1. -1

2. 0

3. 1

4. 2

Q.

If $sin\theta +si{n}^2\theta =1$, then find the value of $co{s}^4\theta +co{s}^2\theta -1$.

1. 2
2. 1
3. 0
4. -1

Q.

Simplify :
4(1 – $si{n}^2\theta$) (1 + $ta{n}^2\theta$)

1. 4

2. 1

3. 2

4. 0

Q.

In triangle ABC, right angled at B, if $\angle$A is made larger and larger till it becomes ${90}^{\circ }$, what can you say about AC and AB if BC = 1 unit?

1. 0, 1

2. 1, 1

3. 1 , 0

4. 0, 0

Q. can we finish an answer in areas related to circle without multiplying the pi value ​

Q. The trigonometric equations which hold true for any value of the angle are known as ____________ .

1. trignometric ratios
2. trignometric angles
3. trignometric identities
4. trignometric compliments

Q.

In the given figure, a circle is circumscribing $\Delta ABC$ where $\angle A={125}^{\circ }$ and side BC=8cm. The diameter of the circumcircle is equal to

$[sin{55}^{\circ }=0.82]$

1. 8.25 cm

2. 10.75 cm

3. 12.5 cm

4. 9.75 cm