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This section contains 2 paragraphs. Based upon one of paragraphs 2 multiple choice questions and based on the other paragraph 3 multiple choice questions have to be answered. Each of these questions has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct
Paragraph for Question Nos. 12 to 13
PQ is the double ordinate of the parabola y2 = 4x which passes through the focus S. ΔPQA is an isosceles right angle triangle, where A is on the axis of the parabola. Line PA meets the parabola at C and QA meets the parabola at B.
The area of trapezium PBCQ is
  • a)
    96 sq units
  • b)
    64 sq units
  • c)
    72 sq units
  • d)
    48 sq units
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
This section contains 2 paragraphs. Based upon one of paragraphs 2 mul...
end point of latus rectum P(1, 2) & Q(1, -2) ΔPAQ is isosceles right angled
∴ slope of PA is – 1
In equation y – 2 = - (x – 1)
x + y – 3 = 0
similarly equation of line QB
x – y – 3 = 0
solving x + y – 3 = 0 with parabola y2 = 4x
(3-x)2 = 4x
x = 1,9
∴ co-ordinate of B & C are (9, -6) & (9, 6) respectively
Area of trapezium
= 1/2 x (12 + 4) x 8
= 64 sq units
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This section contains 2 paragraphs. Based upon one of paragraphs 2 multiple choice questions and based on the other paragraph 3 multiple choice questions have to be answered. Each of these questions has four choices (A), (B), (C) and (D) out of which ONLY ONE is correctParagraph for Question Nos. 12 to 13PQ is the double ordinate of the parabola y2 = 4x which passes through the focus S. PQA is an isosceles right angle triangle, where A is on the axis of the parabola. Line PA meets the parabola at C and QA meets the parabola at B.The area of trapezium PBCQ isa)96 sq unitsb)64 sq unitsc)72 sq unitsd)48 sq unitsCorrect answer is option 'B'. Can you explain this answer?
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This section contains 2 paragraphs. Based upon one of paragraphs 2 multiple choice questions and based on the other paragraph 3 multiple choice questions have to be answered. Each of these questions has four choices (A), (B), (C) and (D) out of which ONLY ONE is correctParagraph for Question Nos. 12 to 13PQ is the double ordinate of the parabola y2 = 4x which passes through the focus S. PQA is an isosceles right angle triangle, where A is on the axis of the parabola. Line PA meets the parabola at C and QA meets the parabola at B.The area of trapezium PBCQ isa)96 sq unitsb)64 sq unitsc)72 sq unitsd)48 sq unitsCorrect 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 This section contains 2 paragraphs. Based upon one of paragraphs 2 multiple choice questions and based on the other paragraph 3 multiple choice questions have to be answered. Each of these questions has four choices (A), (B), (C) and (D) out of which ONLY ONE is correctParagraph for Question Nos. 12 to 13PQ is the double ordinate of the parabola y2 = 4x which passes through the focus S. PQA is an isosceles right angle triangle, where A is on the axis of the parabola. Line PA meets the parabola at C and QA meets the parabola at B.The area of trapezium PBCQ isa)96 sq unitsb)64 sq unitsc)72 sq unitsd)48 sq unitsCorrect 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 This section contains 2 paragraphs. Based upon one of paragraphs 2 multiple choice questions and based on the other paragraph 3 multiple choice questions have to be answered. Each of these questions has four choices (A), (B), (C) and (D) out of which ONLY ONE is correctParagraph for Question Nos. 12 to 13PQ is the double ordinate of the parabola y2 = 4x which passes through the focus S. PQA is an isosceles right angle triangle, where A is on the axis of the parabola. Line PA meets the parabola at C and QA meets the parabola at B.The area of trapezium PBCQ isa)96 sq unitsb)64 sq unitsc)72 sq unitsd)48 sq unitsCorrect answer is option 'B'. Can you explain this answer?.
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