You visited us 2 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Equation of Circle with (h,k) as Center

Assertion :If...

Question

Assertion :If the equation of a circle is $(x + 1)^{2} + (y - 1)^{2} = 4$ , then its radius is 4. Reason: Equation of a circle with radius r is given by, $(x - a)^{2} + (y - b)^{2} = r^{2}$ .

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Assertion is correct but Reason is incorrect

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Assertion is incorrect but Reason is correct

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D Assertion is incorrect but Reason is correct
$(x + 1)^{2} + (y - 1)^{2} = 2^{2}$
Radius $= 2$ Centre $(- 1, 1)$
Assertion is incorrect but reason is correct.

Suggest Corrections

Similar questions

Q. Assertion: In the equation,

y = A sin (k x - ω t)

, particle starts from its mean position

x = 0

and moves towards negative

y -

axis.
Reason: The wave corresponding to given equation is travelling towards positive

x -

direction.

Assertion: All the points (1, 0), (-1, 0), (2, 0) and (5, 0) lie on the x – axis.
Reason: Equation of the x-axis is y = 0

Choose the correct option.

Assertion (A) Order of the reaction can be zero or fractional.

Reason (R) We cannot determine order from balanced chemical equation.

(a) Both assertion and reason are correct and the reason is correct explanation of assertion
(b) Both assertion and reason are correct, but reason does not explain assertion.
(c) Assertion is correct, but reason is incorrect
(d) Both assertion and reason are incorrect
(e) Assertion is incorrect but reason is correct.

Q. Assertion: The compressibility factor for

H_{2}

and

H e

(1 + \frac{P b}{R T})

Reason: The compressibility factor for

H_{2}

and

H e

can be derived from Van der Waal's equation.

Assertion (A) Rate constant determined from Arrhenius equation are fairly accurate for simple as well as complex molecules.

Reason (R) Reactant molecules undergo chemical change irrespective of their orientation during collision.

Join BYJU'S Learning Program

Assertion :If the equation of a circle is (x+1)2+(y−1)2=4, then its radius is 4. Reason: Equation of a circle with radius r is given by, (x−a)2+(y−b)2=r2.

The correct option is D Assertion is incorrect but Reason is correct(x+1)2+(y−1)2=22Radius =2 Centre (−1,1)Assertion is incorrect but reason is correct.

Assertion :If the equation of a circle is $(x + 1)^{2} + (y - 1)^{2} = 4$ , then its radius is 4. Reason: Equation of a circle with radius r is given by, $(x - a)^{2} + (y - b)^{2} = r^{2}$ .

The correct option is D Assertion is incorrect but Reason is correct
$(x + 1)^{2} + (y - 1)^{2} = 2^{2}$
Radius $= 2$ Centre $(- 1, 1)$
Assertion is incorrect but reason is correct.