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A farmer F1 has a land in the shape of a triangle with vertices at P(0, 0), Q(1, 1) and R(2, 0). From this land, a neighbouring f armer F2 takes away the region which lies between the side PQ and a curve of the form y = xn (n > 1). If the area of the region taken away by the farmer F2 is exactly 30% of the area of ΔPQR, then the value of n is _____ .
    Correct answer is '4'. Can you explain this answer?
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    A farmer F1 has a land in the shape of a triangle with vertices at P(0...

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    A farmer F1 has a land in the shape of a triangle with vertices at P(0...
    To find the equation of the curve, we need to determine the value of n. Since the curve lies between the side PQ, we can substitute the coordinates of P and Q into the equation to find the values of y at these points.

    When x = 0 (P), y = 0^n = 0.
    When x = 1 (Q), y = 1^n = 1.

    Substituting these values into the equation y = xn, we get:
    0 = 0^n,
    1 = 1^n.

    From the first equation, we see that n can be any value greater than 0. From the second equation, we see that n must be equal to 1.

    Therefore, the equation of the curve is y = x.
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    A farmer F1 has a land in the shape of a triangle with vertices at P(0, 0), Q(1, 1) and R(2, 0). From this land, a neighbouring f armer F2 takes away the region which lies between the side PQ and a curve of the form y = xn (n > 1). If the area of the region taken away by the farmer F2 is exactly 30% of the area of ΔPQR, then the value of n is _____ .Correct answer is '4'. Can you explain this answer?
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    A farmer F1 has a land in the shape of a triangle with vertices at P(0, 0), Q(1, 1) and R(2, 0). From this land, a neighbouring f armer F2 takes away the region which lies between the side PQ and a curve of the form y = xn (n > 1). If the area of the region taken away by the farmer F2 is exactly 30% of the area of ΔPQR, then the value of n is _____ .Correct answer is '4'. 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 A farmer F1 has a land in the shape of a triangle with vertices at P(0, 0), Q(1, 1) and R(2, 0). From this land, a neighbouring f armer F2 takes away the region which lies between the side PQ and a curve of the form y = xn (n > 1). If the area of the region taken away by the farmer F2 is exactly 30% of the area of ΔPQR, then the value of n is _____ .Correct answer is '4'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A farmer F1 has a land in the shape of a triangle with vertices at P(0, 0), Q(1, 1) and R(2, 0). From this land, a neighbouring f armer F2 takes away the region which lies between the side PQ and a curve of the form y = xn (n > 1). If the area of the region taken away by the farmer F2 is exactly 30% of the area of ΔPQR, then the value of n is _____ .Correct answer is '4'. Can you explain this answer?.
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