Question bank/JEE Main/Mathematics

JEE MainMathematicsModerateStraight Lines

If the equation
2x2+2hxy+6y2−4x+5y−6=02x^{2} + 2hxy + 6y^{2} - 4x + 5y - 6 = 0represents a pair of straight
lines then find the length of intercept on the x -axis cut by the lines

ds lehdj.k djrh gS rc x -v{k ij dkVs x,

vUr[k.M

Show answer and solution
Put y = 0
⇒2x2−4x−6=0⇒x=−1,x=3\Rightarrow 2x^{2} - 4x - 6 = 0 \Rightarrow x = - 1,x = 3

Source: Grass-G / M-25 Mathematics Paper 7 Jan.docx

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