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Directions: The question has 4 choices, out of which ONE OR MORE is correct.
In a triangle ABC with fixed base BC, the vertex A moves such that cos B + cos C = 4 sin2A/2 .
If a, b and c denote the lengths of the sides of the triangle opposite to the angles A, B and C, respectively, then
  • a)
    b + c = 4a
  • b)
    b + c = 2a
  • c)
    locus of point A is an ellipse
  • d)
    locus of point A is a pair of straight lines
Correct answer is option 'B,C'. Can you explain this answer?
Most Upvoted Answer
Directions: The question has 4 choices, out of which ONE OR MORE is c...
We know that in triangle ABC, A + B + C = 180 degrees
∴ B + C = 180 − A
sin B + sin C = 2 sin A
⇒ b + c = 2a
⇒ AC + AB = 2BC
Now, point A moves in such a way that the sum of its distance from points B and C is constant and equal to 2BC.
So, its locus is ellipse.
So, options (b) and (c) are correct.
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Directions: The question has 4 choices, out of which ONE OR MORE is correct.In a triangle ABC with fixed base BC, the vertex A moves such that cos B + cos C = 4 sin2A/2 .If a, b and c denote the lengths of the sides of the triangle opposite to the angles A, B and C, respectively, thena)b + c = 4ab)b + c = 2ac)locus of point A is an ellipsed)locus of point A is a pair of straight linesCorrect answer is option 'B,C'. Can you explain this answer?
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Directions: The question has 4 choices, out of which ONE OR MORE is correct.In a triangle ABC with fixed base BC, the vertex A moves such that cos B + cos C = 4 sin2A/2 .If a, b and c denote the lengths of the sides of the triangle opposite to the angles A, B and C, respectively, thena)b + c = 4ab)b + c = 2ac)locus of point A is an ellipsed)locus of point A is a pair of straight linesCorrect answer is option 'B,C'. 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 Directions: The question has 4 choices, out of which ONE OR MORE is correct.In a triangle ABC with fixed base BC, the vertex A moves such that cos B + cos C = 4 sin2A/2 .If a, b and c denote the lengths of the sides of the triangle opposite to the angles A, B and C, respectively, thena)b + c = 4ab)b + c = 2ac)locus of point A is an ellipsed)locus of point A is a pair of straight linesCorrect answer is option 'B,C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: The question has 4 choices, out of which ONE OR MORE is correct.In a triangle ABC with fixed base BC, the vertex A moves such that cos B + cos C = 4 sin2A/2 .If a, b and c denote the lengths of the sides of the triangle opposite to the angles A, B and C, respectively, thena)b + c = 4ab)b + c = 2ac)locus of point A is an ellipsed)locus of point A is a pair of straight linesCorrect answer is option 'B,C'. Can you explain this answer?.
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