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The foci of hyperbola are (pm2,0) and it...

The foci of hyperbola are `(pm2,0)` and its eccentricity is `3/2` .A tangent, perpwndicular to the line `2x+3y=6` is drawn at point in the first quadrant on the hyperbola . If the intercepts made by the tangent on the `x-` and `y`- axes are `a` and `b` respectively , then `|6a| +|5b|` is equal to ____

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
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