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Let a and b be non–zero real numbers. Then, the equation (ax2 + by2 + (C) (x2 – 5xy + 6y2) = 0 represents 
  • a)
    four straight lines, when c = 0 and a, b are of the same sign
  • b)
    two straight lines and a circle, when a = b, and c is of sign opposite to that of a
  • c)
    two straight lines and a hyperbola, when a and b are of the same sign and c is of sign opposite to that of a 
  • d)
    a circle and an ellipse, when a and b are of the same sign and c is of sign opposite to that of a. 
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Let a and b be non–zero real numbers. Then, the equation (ax2 + ...
x2 – 5xy + 6y2 = 0 represent a pair of lines passing through origin
ax2 + ay2 = - c 

⇒ ax2 + ay2 + c = 0 represent a circle
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Let a and b be non–zero real numbers. Then, the equation (ax2 + by2 + (C) (x2 – 5xy + 6y2) = 0 representsa)four straight lines, when c = 0 and a, b are of the same signb)two straight lines and a circle, when a = b, and c is of sign opposite to that of ac)two straight lines and a hyperbola, when a and b are of the same sign and c is of sign opposite to that of ad)a circle and an ellipse, when a and b are of the same sign and c is of sign opposite to that of a.Correct answer is option 'B'. Can you explain this answer?
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Let a and b be non–zero real numbers. Then, the equation (ax2 + by2 + (C) (x2 – 5xy + 6y2) = 0 representsa)four straight lines, when c = 0 and a, b are of the same signb)two straight lines and a circle, when a = b, and c is of sign opposite to that of ac)two straight lines and a hyperbola, when a and b are of the same sign and c is of sign opposite to that of ad)a circle and an ellipse, when a and b are of the same sign and c is of sign opposite to that of a.Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let a and b be non–zero real numbers. Then, the equation (ax2 + by2 + (C) (x2 – 5xy + 6y2) = 0 representsa)four straight lines, when c = 0 and a, b are of the same signb)two straight lines and a circle, when a = b, and c is of sign opposite to that of ac)two straight lines and a hyperbola, when a and b are of the same sign and c is of sign opposite to that of ad)a circle and an ellipse, when a and b are of the same sign and c is of sign opposite to that of a.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let a and b be non–zero real numbers. Then, the equation (ax2 + by2 + (C) (x2 – 5xy + 6y2) = 0 representsa)four straight lines, when c = 0 and a, b are of the same signb)two straight lines and a circle, when a = b, and c is of sign opposite to that of ac)two straight lines and a hyperbola, when a and b are of the same sign and c is of sign opposite to that of ad)a circle and an ellipse, when a and b are of the same sign and c is of sign opposite to that of a.Correct answer is option 'B'. Can you explain this answer?.
Solutions for Let a and b be non–zero real numbers. Then, the equation (ax2 + by2 + (C) (x2 – 5xy + 6y2) = 0 representsa)four straight lines, when c = 0 and a, b are of the same signb)two straight lines and a circle, when a = b, and c is of sign opposite to that of ac)two straight lines and a hyperbola, when a and b are of the same sign and c is of sign opposite to that of ad)a circle and an ellipse, when a and b are of the same sign and c is of sign opposite to that of a.Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Let a and b be non–zero real numbers. Then, the equation (ax2 + by2 + (C) (x2 – 5xy + 6y2) = 0 representsa)four straight lines, when c = 0 and a, b are of the same signb)two straight lines and a circle, when a = b, and c is of sign opposite to that of ac)two straight lines and a hyperbola, when a and b are of the same sign and c is of sign opposite to that of ad)a circle and an ellipse, when a and b are of the same sign and c is of sign opposite to that of a.Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Let a and b be non–zero real numbers. Then, the equation (ax2 + by2 + (C) (x2 – 5xy + 6y2) = 0 representsa)four straight lines, when c = 0 and a, b are of the same signb)two straight lines and a circle, when a = b, and c is of sign opposite to that of ac)two straight lines and a hyperbola, when a and b are of the same sign and c is of sign opposite to that of ad)a circle and an ellipse, when a and b are of the same sign and c is of sign opposite to that of a.Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Let a and b be non–zero real numbers. Then, the equation (ax2 + by2 + (C) (x2 – 5xy + 6y2) = 0 representsa)four straight lines, when c = 0 and a, b are of the same signb)two straight lines and a circle, when a = b, and c is of sign opposite to that of ac)two straight lines and a hyperbola, when a and b are of the same sign and c is of sign opposite to that of ad)a circle and an ellipse, when a and b are of the same sign and c is of sign opposite to that of a.Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Let a and b be non–zero real numbers. Then, the equation (ax2 + by2 + (C) (x2 – 5xy + 6y2) = 0 representsa)four straight lines, when c = 0 and a, b are of the same signb)two straight lines and a circle, when a = b, and c is of sign opposite to that of ac)two straight lines and a hyperbola, when a and b are of the same sign and c is of sign opposite to that of ad)a circle and an ellipse, when a and b are of the same sign and c is of sign opposite to that of a.Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Let a and b be non–zero real numbers. Then, the equation (ax2 + by2 + (C) (x2 – 5xy + 6y2) = 0 representsa)four straight lines, when c = 0 and a, b are of the same signb)two straight lines and a circle, when a = b, and c is of sign opposite to that of ac)two straight lines and a hyperbola, when a and b are of the same sign and c is of sign opposite to that of ad)a circle and an ellipse, when a and b are of the same sign and c is of sign opposite to that of a.Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
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