Statement-l: lf $Z$ is such that $| z - 2 i | = 2 \sqrt{2}$ then $A r g (\frac{z - 2}{z + 2})$ is $\frac{π}{4}$

Statement-ll : The angle subtended by a chord of circle at the center is twice the angle subtended by it at a point on the major arc of the circle.

Both A and R are true and R is the correct explanation of A

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Both A and R are true but R is not the correct explanation of A

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A is true, R is false

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A is false, R is true

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Solution

The correct option is C A is false, R is true
$2 θ =^{π} /_{2}$
$2 a r g (\frac{z - 2}{z + 2}) =^{π} /_{2}$
$a r g (\frac{z - 2}{z + 2}) =^{π} /_{4}$
A is true
Ris true & correct explanation of A

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Similar questions

Assertion (A) in the given figure, O is the centre of the circle with D, E and F as mid-points of AB, BO and OA respectively. If $∠ D E F$ is $30^{\circ}$ , then $∠ A C B$ is $60^{\circ}$

Reason (R) Angle subtended by an arc at the centre is twice the angle subtended by it on the remaining part of the circle.

Q. Assertion (A): At constant temperature,

P V

P

plot for real gases is not a straight line.
Reason (R): At high pressure all gases have

(Z > 1)

but at intermediate pressure most gases have

(Z < 1)

Q. Assertion (A)
An arc of a circle of length 5π cm bounds a sector whose area is 20π cm². Then, the radius of the circle is 4 cm.

Reason (R)
A chord of a circle of radius 12 cm subtends an angle of 60° at the centre of the circle. The area of the minor segment of the circle is 13.08 cm².

(a) Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).
(b) Both Assertion (A) Reason (R) true but Reason (R) is not a correct explanation of Assertion (A).
(c) Assertion (A) is true and Reason (R) is false.
(d) Assertion (A) is false and Reason (R) is true.

Assertion: The measure of $∠ A O C = 60^{\circ}$

Reason: Angle subtended by an arc of a circle at the center of the circle is double the angle subtended by the arc on the circumference.

Which of the following is correct?

In the following question, a statement of Assertion (A) followed by a statement of Reason (R) is given. Choose the correct option out of the choices given below in each question.

Assertion (A) At constant temperature, PV vs V plot for real gases is not a straight line.

Reason (R) At high pressure all gases have Z > 1 but at an intermediate pressure, most gases have Z < 1.

(a) Both A and R are true and R is the correct explanation of A

(b) Both A and R are true R is not the correct explanation of A

(d) A is false but R is true

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Statement-l: lf Z is such that |z−2i|=2√2 then Arg(z−2z+2) is π4Statement-ll : The angle subtended by a chord of circle at the center is twice the angle subtended by it at a point on the major arc of the circle.

The correct option is C A is false, R is true2θ=π/22arg(z−2z+2)=π/2arg(z−2z+2)=π/4A is trueRis true & correct explanation of A

Statement-l: lf $Z$ is such that $| z - 2 i | = 2 \sqrt{2}$ then $A r g (\frac{z - 2}{z + 2})$ is $\frac{π}{4}$

Statement-ll : The angle subtended by a chord of circle at the center is twice the angle subtended by it at a point on the major arc of the circle.

The correct option is C A is false, R is true
$2 θ =^{π} /_{2}$
$2 a r g (\frac{z - 2}{z + 2}) =^{π} /_{2}$
$a r g (\frac{z - 2}{z + 2}) =^{π} /_{4}$
A is true
Ris true & correct explanation of A