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STATEMENT-1 : The area bounded by the curve |x| + |y| = a (a > 0) is 2a2 and area bounded
|px + qy| + |qx – py| = a, where p2 + q2 = 1, is also 2a2.
STATEMENT-2 : Since αx + βy = 0 is perpendicular to βx – αy = 0, we can take one as x-axis and another
as y-axis and therefore the area bounded by |αx + βy| + |βx – αy| = a is 2a2 for all α, †R,
α  0, β  0.
  • a)
    Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
  • b)
    Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1
  • c)
    Statement-1 is True, Statement-2 is False
  • d)
    Statement-1 is False, Statement-2 is True
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
STATEMENT-1 : The area bounded by the curve |x| + |y| = a (a > 0) i...
STATEMENT-1 :
Then the axis get rotated through an angle θ, 
the equation of the given curve becomes |U| + |V| = a the area bounded = 2a2.
so statement-1 is true
STATEMENT-2 : The equation of the curve is
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STATEMENT-1 : The area bounded by the curve |x| + |y| = a (a > 0) is 2a2and area bounded|px + qy| + |qx – py| = a, where p2+ q2= 1, is also 2a2.STATEMENT-2 : Since αx + βy = 0 is perpendicular to βx – αy = 0, we can take one as x-axis and anotheras y-axis and therefore the area bounded by |αx + βy| + |βx – αy| = a is 2a2for all α, β€R,α 0, β 0.a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'C'. Can you explain this answer?
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STATEMENT-1 : The area bounded by the curve |x| + |y| = a (a > 0) is 2a2and area bounded|px + qy| + |qx – py| = a, where p2+ q2= 1, is also 2a2.STATEMENT-2 : Since αx + βy = 0 is perpendicular to βx – αy = 0, we can take one as x-axis and anotheras y-axis and therefore the area bounded by |αx + βy| + |βx – αy| = a is 2a2for all α, β€R,α 0, β 0.a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option '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 STATEMENT-1 : The area bounded by the curve |x| + |y| = a (a > 0) is 2a2and area bounded|px + qy| + |qx – py| = a, where p2+ q2= 1, is also 2a2.STATEMENT-2 : Since αx + βy = 0 is perpendicular to βx – αy = 0, we can take one as x-axis and anotheras y-axis and therefore the area bounded by |αx + βy| + |βx – αy| = a is 2a2for all α, β€R,α 0, β 0.a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option '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 STATEMENT-1 : The area bounded by the curve |x| + |y| = a (a > 0) is 2a2and area bounded|px + qy| + |qx – py| = a, where p2+ q2= 1, is also 2a2.STATEMENT-2 : Since αx + βy = 0 is perpendicular to βx – αy = 0, we can take one as x-axis and anotheras y-axis and therefore the area bounded by |αx + βy| + |βx – αy| = a is 2a2for all α, β€R,α 0, β 0.a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'C'. Can you explain this answer?.
Solutions for STATEMENT-1 : The area bounded by the curve |x| + |y| = a (a > 0) is 2a2and area bounded|px + qy| + |qx – py| = a, where p2+ q2= 1, is also 2a2.STATEMENT-2 : Since αx + βy = 0 is perpendicular to βx – αy = 0, we can take one as x-axis and anotheras y-axis and therefore the area bounded by |αx + βy| + |βx – αy| = a is 2a2for all α, β€R,α 0, β 0.a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'C'. 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 STATEMENT-1 : The area bounded by the curve |x| + |y| = a (a > 0) is 2a2and area bounded|px + qy| + |qx – py| = a, where p2+ q2= 1, is also 2a2.STATEMENT-2 : Since αx + βy = 0 is perpendicular to βx – αy = 0, we can take one as x-axis and anotheras y-axis and therefore the area bounded by |αx + βy| + |βx – αy| = a is 2a2for all α, β€R,α 0, β 0.a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of STATEMENT-1 : The area bounded by the curve |x| + |y| = a (a > 0) is 2a2and area bounded|px + qy| + |qx – py| = a, where p2+ q2= 1, is also 2a2.STATEMENT-2 : Since αx + βy = 0 is perpendicular to βx – αy = 0, we can take one as x-axis and anotheras y-axis and therefore the area bounded by |αx + βy| + |βx – αy| = a is 2a2for all α, β€R,α 0, β 0.a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for STATEMENT-1 : The area bounded by the curve |x| + |y| = a (a > 0) is 2a2and area bounded|px + qy| + |qx – py| = a, where p2+ q2= 1, is also 2a2.STATEMENT-2 : Since αx + βy = 0 is perpendicular to βx – αy = 0, we can take one as x-axis and anotheras y-axis and therefore the area bounded by |αx + βy| + |βx – αy| = a is 2a2for all α, β€R,α 0, β 0.a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of STATEMENT-1 : The area bounded by the curve |x| + |y| = a (a > 0) is 2a2and area bounded|px + qy| + |qx – py| = a, where p2+ q2= 1, is also 2a2.STATEMENT-2 : Since αx + βy = 0 is perpendicular to βx – αy = 0, we can take one as x-axis and anotheras y-axis and therefore the area bounded by |αx + βy| + |βx – αy| = a is 2a2for all α, β€R,α 0, β 0.a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice STATEMENT-1 : The area bounded by the curve |x| + |y| = a (a > 0) is 2a2and area bounded|px + qy| + |qx – py| = a, where p2+ q2= 1, is also 2a2.STATEMENT-2 : Since αx + βy = 0 is perpendicular to βx – αy = 0, we can take one as x-axis and anotheras y-axis and therefore the area bounded by |αx + βy| + |βx – αy| = a is 2a2for all α, β€R,α 0, β 0.a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
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