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The three lines 3x + 4y + 6 = 0,√2x + √3y + 2 √2 = 0 and 4x + 7y + 8 = 0 are(1) the sides of a triangle(2) parallel(3) concurrent(4) none of these |
Answer» <p></p><p class="MsoNormal" style="text-align: justify;"><span style="color:#000000"><span style="font-family:Arial,Helvetica,sans-serif"><strong>Correct option (3) concurrent </strong></span></span></p><p class="MsoNormal" style="text-align: justify;"><span style="color:#000000"><span style="font-family:Arial,Helvetica,sans-serif"><strong>Explanation:</strong></span></span></p><p class="MsoNormal" style="text-align: justify;"><span style="color:#000000"><span style="font-family:Arial,Helvetica,sans-serif">Solving 3x + 4y + 6 = 0 and 4x + 7y + 8 = 0,</span></span></p><p class="MsoNormal" style="text-align: justify;"><span style="color:#000000"><span style="font-family:Arial,Helvetica,sans-serif">⇒ x = − 2, y = 0. These values satisfy the other equation.</span></span></p><p class="MsoNormal" style="text-align: justify;"><span style="color:#000000"><span style="font-family:Arial,Helvetica,sans-serif">∴ the lines are concurrent.</span></span></p><p></p> | |