Search Result

17 Record(s) found!

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Introduction and Snapshot of Application of Integrals - Study ref# 920

Introduction In geometry, we have learnt formulae to calculate areas of various geometrical figures including triangles, rectangles, trapezias and circles. Such formulae are fundamental in the applications of mathematics to many real life... read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Introduction and Snapshot of Application of Integrals - Study ref# 921

Following sections must be covered to understand the Application of Integrals: 1. Area under Simple Curves 2. Area between Two Curves... read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Target Setup for Application of Integrals - Study ref# 922

Student requires to achieve the following milestones to get better grip over Application of Integrals. The milestones / targets are as follows: Starting Point: Days 0Test TypeAppear on TestTarget TestsScorePractice Test000%Chapte... read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Study ref# 9534

Find the area of the region bounded by the curve  and the lines  and the X-axis. Hints – The area enclosed by the curve  , the X-axis and the ordinates  is given by  . Answer: The area of the region bounded... read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Study ref# 9535

Find the area of the region bounded by  and the Y-axis in the first quadrant. Hints- To determine the required area, integrate x w.r.t. y and take  as lower limit and  as upper limit. Answer: The given curve read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Study ref# 9536

Find the area of the region bounded by the ellipse  . Hints- Firstly, find the area in the first quadrant and then  multiply by four (as in   one quadrant there will be only ¼ part of the ellipse). Answer: The given cu... read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Study ref# 9537

Find the area of the region in the first quadrant enclosed by the X-axis and  and the circle  . Hints- Firstly find the intersection point of and in the first quadrant and t... read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Study ref# 9538

The area between  and  is divided into two equal parts by the line  find the value of a. Answer: Given curve  is a parab... read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Study ref# 9539

Find the area bounded by the curve  and the line  . Hints – Find the points of intersection of line  and  . Find the proper limits, the required area is given by area under the parabola w.r.t. X-axis subtracted from ar... read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Study ref# 9540

Find the area of the circle  which is interior to the parabola   Hints- Draw a proper figure and find which area is required. Find the points of intersection and then integrate with proper limits. Answer: Given circle is read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Study ref# 9541

Find the area of the region bounded by the curves  and   Answer: Given curve represents a parabola and it is symmetrical about Y-axis having vertex (0,2). The given region boun... read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Study ref# 9542

Using integration, find the area of the triangular region whose sides have the equations  and  . Answer: Given equation of sides of the triangle are and On solving these equation... read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Study ref# 9543

Find the area enclosed between the parabola  and the line. Answer: Given , the curve (represent a parabola with vertex (0,0))                   &... read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Study ref# 9544

Using method of integration find the area bounded by the curve  . Hints – Find the equations of all the lines enclosing the required area by using  in each quadrant and then, r... read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Study ref# 9545

Choose the correct answer: Area bounded by the curve  , the X-axis and the coordinates  and  is (a) -9         (b)            ... read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Study ref# 9546

Choose the correct answer: The area of the circle  exterior to the parabola  is (a)    (b)        (c)    &nbs... read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Study ref# 9547

Using integration, find the area of the region bounded by the line  ,X-axis and the lines  and  . Answer:     Given equations of the curves are ………(i)        ... read more

Search

Check your desired chapters availability

Search