NCERT Solutions for Class 12 Help.html Mathematics Part Ii Chapter 10 Vector Algebra

Vector Algebra Here is the CBSE Help.html Chapter 10 for Class 12 students. Summary and detailed explanation of the lesson, including the definitions of difficult words. All of the exercises and questions and answers from the lesson's back end have been completed. NCERT Solutions for Class 12 Help.html Vector Algebra Chapter 10 NCERT Solutions for Class 12 Help.html Vector Algebra Chapter 10 The following is a summary in Hindi and English for the academic year 2025-26. You can save these solutions to your computer or use the Class 12 Help.html.

Question 1

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Find the area of the region bounded by the curve y²= x and the lines x = 1, x = 4 and the x-axis in the first quadrant.

Solution

The equation of curve is y² = x
Required area = $integral subscript 1 superscript 4 space straight y space dx space equals space integral subscript 1 superscript 4 square root of straight x space end root dx space equals integral subscript 1 superscript 4 straight x to the power of 1 half end exponent dx$
$equals space open square brackets fraction numerator straight x to the power of begin display style 3 over 2 end style end exponent over denominator begin display style 3 over 2 end style end fraction close square brackets subscript 1 superscript 4 space equals 2 over 3 open square brackets straight x to the power of 3 over 2 end exponent close square brackets subscript 1 superscript 4 space equals space 2 over 3 open square brackets open parentheses 4 close parentheses to the power of 3 over 2 end exponent minus 1 close square brackets equals space 2 over 3 left parenthesis 8 minus 1 right parenthesis space equals space 2 over 3 cross times 7 space equals space 14 over 3 sq. space units.$

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NCERT Solutions for Class 12 Help.html Mathematics Part Ii Chapter 10 Vector Algebra

Find the area of the region bounded by the curve y²= x and the lines x = 1, x = 4 and the x-axis in the first quadrant.

Find the area of the region bounded by y² = 4 x, x = 1, x = 4 and the x-axis in the first quadrant.

Find the area of the region bounded by y² = 9x, x = 2, x = 4 and the x-axis in the first quadrant.

Find the area of the region bounded by y² = x - 2, x = 4, x = 6 and the x-axis in the first quadrant.

Find the area under the given curves and given lines:
(i) y = x², x = 1, x = 2 and x-axis
(ii) y - x^4, x = 1, x = 5 and x -axis

Find the area of the region bounded by x² = 4 y, y = 2, y = 4 and the y-axis in the first quadrant.

Find the area of the region lying in the first quadrant and bounded by y = 4 x², x = 0, y = 1 and y = 4.

Find the area of the region lying in the first quadrant and bounded by x² = y - 3, y = 4, y = 6 and the y-axis in the first quadrant.

Find the area of the region bounded by x² = 16 y, y = 1, y = 4 and the y-axis in the first quadrant.

Find the area bounded by the curve y² = 4 a (x-1) and the lines x = 1 and y = 4 a.

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Entrance Exams Preparation

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NCERT Solutions for Class 12 Help.html Mathematics Part Ii Chapter 10 Vector Algebra

Find the area of the region bounded by the curve y2 = x and the lines x = 1, x = 4 and the x-axis in the first quadrant.

Find the area of the region bounded by y2 = 4 x, x = 1, x = 4 and the x-axis in the first quadrant.

Find the area of the region bounded by y2 = 9x, x = 2, x = 4 and the x-axis in the first quadrant.

Find the area of the region bounded by y2 = x - 2, x = 4, x = 6 and the x-axis in the first quadrant.

Find the area under the given curves and given lines:(i) y = x2, x = 1, x = 2 and x-axis(ii) y - x4, x = 1, x = 5 and x -axis

Find the area of the region bounded by x2 = 4 y, y = 2, y = 4 and the y-axis in the first quadrant.

Find the area of the region lying in the first quadrant and bounded by y = 4 x2, x = 0, y = 1 and y = 4.

Find the area of the region lying in the first quadrant and bounded by x2 = y - 3, y = 4, y = 6 and the y-axis in the first quadrant.

Find the area of the region bounded by x2 = 16 y, y = 1, y = 4 and the y-axis in the first quadrant.

Find the area bounded by the curve y2 = 4 a (x-1) and the lines x = 1 and y = 4 a.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Find the area of the region bounded by the curve y²= x and the lines x = 1, x = 4 and the x-axis in the first quadrant.

Find the area of the region bounded by y² = 4 x, x = 1, x = 4 and the x-axis in the first quadrant.

Find the area of the region bounded by y² = 9x, x = 2, x = 4 and the x-axis in the first quadrant.

Find the area of the region bounded by y² = x - 2, x = 4, x = 6 and the x-axis in the first quadrant.

Find the area under the given curves and given lines:
(i) y = x², x = 1, x = 2 and x-axis
(ii) y - x^4, x = 1, x = 5 and x -axis

Find the area of the region bounded by x² = 4 y, y = 2, y = 4 and the y-axis in the first quadrant.

Find the area of the region lying in the first quadrant and bounded by y = 4 x², x = 0, y = 1 and y = 4.

Find the area of the region lying in the first quadrant and bounded by x² = y - 3, y = 4, y = 6 and the y-axis in the first quadrant.

Find the area of the region bounded by x² = 16 y, y = 1, y = 4 and the y-axis in the first quadrant.

Find the area bounded by the curve y² = 4 a (x-1) and the lines x = 1 and y = 4 a.