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Circle question

2024 · 29 Jan · Shift 1 · Q53

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PYQ Library
JEE Main
Mathematics
Circle
2024 · 29 Jan · Shift 1 · Q53

Circle question

2024 · 29 Jan · Shift 1 · Q53

JEE MainMathematicsCircleNumerical+4 / −1

Equations of two diameters of a circle are

2 x-3 y=5

and

3 x-4 y=7

. The line joining the points

\left(-\frac{22}{7},-4\right)

and

\left(-\frac{1}{7}, 3\right)

intersects the circle at only one point

P(\alpha, \beta)

. Then,

17 \beta-\alpha

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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