The line $3 x + 6 y = k$ intersects the curve $2 x^{2} + 3 y^{2} = 1$ at points $A a n d B$ . The circle on $A B$ as diameter passes through the origin. Then the value of $k^{2}$ is__________

Views: 670 students

Found 5 tutors discussing this question

Levi Discussed

The line

3 x + 6 y = k

intersects the curve

2 x^{2} + 3 y^{2} = 1

at points

A a n d B

. The circle on

A B

as diameter passes through the origin. Then the value of

k^{2}

is__________

15 mins ago

Discuss this question LIVE