NCERT Solutions for Class 12 Science Math Chapter 5

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Given: Dimensions of rectangular sheet are 45 cm and 24 cm. Find two positive integers whose sum is 16 and sum of whose cubes is minimum. Let meters be the side of square and meters be the radius of the circle. Find the maximum and minimum values, if any, of the following functions given by: i ii iii iv Ans.

The coordinates of the foot of the perpendicular are given by ld, md, nd. The direction ratios of x-axis are 1, 0, and 0. You will understand multiplication theorem, independent events, conditional, unconditional and total probability. Find the maximum profit that a company can make, if the profit function is given by Ans.

NCERT Solutions for Class 12 Maths Chapter 5 continuity and differentiability

Question 4: Find the angle which is equal to its complement. Answer: Let the angle be x. Complement of this angle is also x. The sum of the measures of a complementary angle pair is 90º. Answer: Let the angle be x. Supplement of this angle is also x. The sum of the measures of a supplementary angle pair is 180º. Question 7: Can two angles be supplementary if both of them are: i Acute. Acute ncert solutions for class 12 maths chapter 5 is always lesser than 90º. It can be observed that two angles, even of 89º, cannot add up to 180º. Therefore, two acute angles cannot be in a supplementary angle pair. Obtuse angle is always greater than 90º. It can be observed that two angles, even of 91º, will always add up to more than 180º. Therefore, two obtuse angles cannot be in a supplementary angle pair. Question 8: An angle is greater than 45°. Is its complementary angle greater than 45° or equal to 45° or less than 45°. Answer: Let A and B are two angles making a complementary angle pair and A is greater than 45º. Therefore, these are not adjacent to each other. Question 10: Indicate which pairs of angles are: i Vertically opposite angles. Answer: i 90° ii 180° iii Supplementary iv Linear pair v Equal vi Obtuse angles Question 14: In the adjoining figure, name the following pairs of angles. Answer: i Consider two lines, l and m, and a transversal line n which is intersecting them. However, here their measures are 75º and 105º respectively. Hence, these lines are not parallel to each other. Here, their measures are 57º and 57º respectively. Hence, these lines are parallel to each other. However, here their measures are 72º and 82º respectively. Hence, these lines are not parallel to each other.

Then you will find the equation of a curve that is passing through a specific location with the help of given parameter. Substituting in equation 1 , we obtain This is the equation of the required line. While helping the student get a grip on concepts to build a strong base, it helps them to understand the problems as well. Hence, find A — 1. The coordinates of the foot of the perpendicular are given by ld, md, nd. This subject is very crucial and very important for securing the future career. Answer: a Let the coordinates of the foot of perpendicular P from the origin to the plane be x 1, y 1, z 1. At At At Therefore, maximum value of is 89. Answer : Q12 :Let and. Thus, we expand along the second row for easier calculation. This chapter requires practice, so spare some extra time and make sure that you practice this chapter thoroughly. Q5 : If area of triangle is 35 square units with vertices 2, -6 , 5, 4 , and k, 4.