Home
Class 12
MATHS
Consider the equation of circle x^(2)+y^...

Consider the equation of circle `x^(2)+y^(2)-2x-2lambday -8=0` where `lambda` is variable then answer the following:
If the chord joining the fixed points subtends an angle `alpha` at the centre of the circle, then `alpha=pi//2`

Text Solution

Verified by Experts

The correct Answer is:
`angleACB=pi//2`
Promotional Banner

Topper's Solved these Questions

  • THE CIRCLE

    ML KHANNA|Exercise Self Assessment Test|34 Videos

  • THE CIRCLE

    ML KHANNA|Exercise Self Assessment Test (Integer Type Questions) |2 Videos

  • THE CIRCLE

    ML KHANNA|Exercise Assertion/Reason|2 Videos

  • TANGENTS AND NORMALS

    ML KHANNA|Exercise SELF ASSESSMENT TEST (MULTIPLE CHOICE QUESTIONS)|19 Videos

  • THE ELLIPSE

    ML KHANNA|Exercise SELF ASSESSMENT TEST|9 Videos

Similar Questions

Explore conceptually related problems

If the chord joining the points (1,-3),(-3,1) subtends a right angle at the centre of the circle,then equation of the circle is

If the chord joining the points (2,-1),(1,-2) subtends a right angle at the centre of the circle,then its centre and radius are

locus of the middle point of the chord which subtend theta angle at the centre of the circle S=x^(2)+y^(2)=a^(2)

Locus of the point,the chord of contact of which subtends an angle 2 theta at the centre of circle x^(2)+y^(2)=r^(2) is

An equation chord joining the points (1,2) and (2,-1) subtends an angle of pi//4 at any point on the circumference is

Consider the family of circles x^(2)+y^(2)-2x-2 lambda y-8=0 passing through two fixed points AandB .Then the distance between the points AandB is