If a circle passing through the point (-1, 0) touches y-axis at (0, 2), then the length of the chord of the circle along the x-axis is :

 

  • Option 1)

    \frac{3}{2}

  • Option 2)

    \frac{5}{2}

  • Option 3)

    3

  • Option 4)

    5

 

Answers (1)

As learnt in concept

Circle touching y-axis and having radius r -

x^{2}+y^{2}+ 2gx\pm 2ry+g^{2}= 0

- wherein

Where g is a variable parameter.

 

 

Equation of a circle -

\left ( x-h \right )^{2}+\left ( y-k \right )^{2}= r^{2}

- wherein

Circle with centre \left ( h,k \right ) and radius r.

 

 

If the centre is (h, 2) then

radius = |h|

equartion of circle is

\left ( x-h \right )^{2}+\left ( y-2 \right )^{2}=h^{2}

and it passes through point (-1, 0)

putting values , we get 

  h=\frac{-5}{2}

So centre is 

\left ( \frac{-5}{2}, 2 \right )

equation \: \left ( x+\frac{5}{2} \right )^{2}+\left ( y-2 \right )^{2}=\left ( \frac{5}{2} \right )^{2}

(-4, 0) satisfies this equation.


Option 1)

\frac{3}{2}

Option 2)

\frac{5}{2}

Option 3)

3

Option 4)

5

Most Viewed Questions

Preparation Products

Knockout JEE Main April 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
Buy Now
Knockout JEE Main May 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-
Buy Now
Test Series JEE Main May 2021

Unlimited Chapter Wise Tests, Unlimited Subject Wise Tests, Unlimited Full Mock Tests, Get Personalized Performance Analysis Report,.

₹ 6999/- ₹ 2999/-
Buy Now
Knockout JEE Main May 2022

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 34999/- ₹ 14999/-
Buy Now
JEE Main Rank Booster 2021

Booster and Kadha Video Lectures, Unlimited Full Mock Test, Adaptive Time Table, 24x7 Doubt Chat Support,.

₹ 13999/- ₹ 6999/-
Buy Now
Boost your Preparation for JEE Main 2021 with Personlized Coaching
 
Exams
Articles
Questions