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The normal to the curve, x2 +2xy – 3y2 = 0 at (1,1)
  • a)
    Does not meet the curve again
  • b)
    Meets the curve again in the second quadrant
  • c)
    Meets the curve again in the third quadrant
  • d)
    Meets the curve again in the fourth quadrant
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The normal to the curve, x2 +2xy – 3y2 = 0 at (1,1)a)Does not me...
Curve is x2 + 2xy – 3y2 = 0
Differentiate wr.t. x, 

So equation of normal at (1, 1) is
y – 1 = – 1 (x – 1) Þ y = 2 – x Solving it with the curve, we get
x2 + 2x(2 – x) – 3(2 – x)2 = 0
–4x2 + 16x – 12 = 0
x2 – 4x + 3 = 0
x = 1, 3
So points of intersections are (1, 1) & (3, –1) i.e. normal cuts the curve again in fourth quadrant.
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The normal to the curve, x2 +2xy – 3y2 = 0 at (1,1)a)Does not meet the curve againb)Meets the curve again in the second quadrantc)Meets the curve again in the third quadrantd)Meets the curve again in the fourth quadrantCorrect answer is option 'D'. Can you explain this answer?
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The normal to the curve, x2 +2xy – 3y2 = 0 at (1,1)a)Does not meet the curve againb)Meets the curve again in the second quadrantc)Meets the curve again in the third quadrantd)Meets the curve again in the fourth quadrantCorrect answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The normal to the curve, x2 +2xy – 3y2 = 0 at (1,1)a)Does not meet the curve againb)Meets the curve again in the second quadrantc)Meets the curve again in the third quadrantd)Meets the curve again in the fourth quadrantCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The normal to the curve, x2 +2xy – 3y2 = 0 at (1,1)a)Does not meet the curve againb)Meets the curve again in the second quadrantc)Meets the curve again in the third quadrantd)Meets the curve again in the fourth quadrantCorrect answer is option 'D'. Can you explain this answer?.
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