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NDA Area Under Curves PYQs with Solutions

54 previous year questions from Area Under Curves (NDA Mathematics) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

54 questionsMathematics2010–2026Answers + solutions

About Area Under Curves PYQs

Area Under Curves has 54 previous year questions in the Quantrex Academy NDA Mathematics bank. The 54 questions in this list come from NDA (54), spanning 2010 to 2026. Each question opens on its own page with the options, the correct answer and the worked solution where available.

NDA Area Under Curves PYQs with Solutions

About Area Under Curves PYQs

Questions by year (this list)

Area Under Curves questions with solutions

Passage: Let k be the area between the curve y= x and x-axis in the interval [0,(π)/(4)] . Question: What is the area between the curve y= x and the x-axis in the interval

Passage: Consider the curves y=x^2 and y=2|x| . Question: What is the area bounded by the curves, the lines x=0 and x=1 ?

Passage: Let k be the area between the curve y= x and x-axis in the interval [0,(π)/(4)] . Question: What is the area between the curve y= x and the x-axis in the interval

Consider the following for the two (02) items that follow: Let the curve f(x) = |x - 3| . What is the area bounded by the curve f(x) and y = 3 ?

Consider the following for the two (02) items that follow: Let the function f(x) = x^2 - 1 . What is the area bounded by the function f(x) and the x -axis?

For the following three (03) items: Consider the function f(x) = x|x| . What is the area bounded by the curve f(x) , the x -axis and the lines x = -2 and x = 1 ?

Consider the following for the two (02) items that follow: The slope of the tangent to the curve y = f(x) at (x, f(x)) is 4 for every real number x and the curve passes through

What is the area of the region bounded by |x| ≤ 2k and |y| ≤ k , where k is a positive real number?

Consider the following for the two (02) items that follow: Let f(x) = [x^2] , where [·] is the greatest integer function. What is ∫_ 2 ^ 3 f(x) \, dx equal to?

Paragraph: The area bounded by the parabola y^2=k x and the line x=k , where k > 0 , is (4)/(3) square units. Question: What is the value of k ?

The circle x^2+y^2-2 x=0 is partitioned by line y=x in two segments. Let A_1, A_2 be the areas of major and minor segments respectively. What is the value of (2(A_1+A_2))/(A_1-3

Paragraph: The area bounded by the parabola y^2=k x and the line x=k , where k > 0 , is (4)/(3) square units. Question: What is the area of the parabola bounded by the latus

The circle x^2+y^2-2 x=0 is partitioned by line y=x in two segments. Let A_1, A_2 be the areas of major and minor segments respectively. What is the value of A_1 ?

What is the area between the curve f(x)=x|x| and x -axis for x ∈[-1,1] ?

For what value of m with m < 0 , is the area bounded by the lines y=x, y=m x and x=2 equal to 3 ?

What is the area of the region (in the first quadrant) bounded by y= 1-x^2 , y=x and y=0 ?

What is the area of the region enclosed in the first quadrant by x^2+y^2=π^2, y= x and x=0 ?

What is the area included in the first quadrant between the curves y=x and y=x^3 ?

What is the area of the region bounded by x-|y|=0 and x-2=0 ?

What is the area bounded by y=[x] , where [·] is the greatest integer function, the x -axis and the lines x=-1.5 and x=-1.8 ?

What is the area bounded by y= 16-x^2 , y ≥ 0 and the x -axis?

What is the area of the region enclosed between the curve y^2=2 x and the straight line y=x ?

What is the area of the region bounded by |x| < 5, y=0 and y=8 ?

What is the area of the region enclosed between the curve y^2=2 x and the straight line y=x ?

What is the area of one of the loops between the curve y=c x and x -axis?

What is the area of the region bounded by the parabolas y^2=6(x-1) and y^2=3 x ?

The area bounded by the curve |x|+|y|=1 is

What is the area bounded by the curves |y|=1-x^2 ?

Consider the function f(x)=|x-1|+x^2 , where x ∈ R . What is the area of the region bounded by x -axis, the curve y=f(x) and the two ordinates x=1 and x=(3)/(2) ?

Consider the function f(x)=|x-1|+x^2 , where x ∈ R . What is the area of the region bounded by x -axis, the curve y=f(x) and the two ordinates x=(1)/(2) and x=1 ?

Consider the curves y=|x-1| and |x|=2 What is the area of the region bounded by the curves and x-axis?

Consider the curves f(x)=x|x|-1 and g(x)= cases (3 x)/(2), & x > 0 2 x, & x ≤ 0 cases What is the area bounded by the curves?

The area bounded by the coordinate axes and the curve x + y =1 , is

Consider the curves y= x and y= x . What is the area of the region bounded by the above two curves and the lines x=(π)/(4) and x=(π)/(2) ?

Consider the curves y= x and y= x . What is the area of the region bounded by the above two curves and the lines x=0 and x=(π)/(4) ?

Consider the line x= 3 y and the circle x^2+y^2=4 . What is the area of the region in the first quadrant enclosed by the x -axis, the line x= 3 and the circle?

Consider the line x= 3 y and the circle x^2+y^2=4 . What is the area of the region in the first quadrant enclosed by the x -axis, the line x= 3 y and the circle?

The line 2 y=3 x+12 cuts the parabola 4 y=3 x^2 . What is the area enclosed by the parabola, the line and the y -axis in the first quadrant?

The line 2 y=3 x+12 cuts the parabola 4 y=3 x^2 . What is the area enclosed by the parabola and line?

What is the area of the parabola x^2=y bounded by the line y=1 ?

What is the area bounded by y= x, y=0 and x=(π)/(4) ?

What is the area of the triangle bounded by the sides x=0, y=0 and x+y=2 ?

What is the area bounded by the lines x=0 , y=0 and x+y+2=0 ?

What is the area of the region enclosed by y=2|x| and y=4 ?

The area bounded by the curve x=f(y) , the y -axis and the two lines y=a and y=b is equal to:

What is the area of the portion of the curve y= x , lying between x=0, y=0 and x=2 π ?

What is the area of the region bounded by the lines y=x, y=0 and x=4 ?

What is the area between the curve y= 3 x, 0 ≤ x ≤(π)/(6) and the co-ordinate axes?

What is the area bounded by the curves y=e^x , y=e^ -x and the straight line x=1 ?

What is the area bounded by the curve x + y = a (x, y ≥ 0) and the coordinate axes?

What is the area under the curve f(x)=x e^x above the x axis and between the lines x=0 and x=1 ?

What is the area bounded by the curve y=x^2 and the line y=16 ?

What is the area of the region bounded by the curve f(x)=1-(x^2)/(4), x ∈[-2,2] and the x -axis)?

What is the area enclosed between the curves y^2=12 x and the lines x=0 and y=6 ?

Related NDA Mathematics chapters

Area Under Curves in other exams