Terms like monomial, binomial, trinomial or any polynomial. Q14 : If the points 1, 1, p and — 3, 0, 1 be equidistant from the plane , then find the value of p. About 7 Maths Chapter 12 In 7 Maths Chapter 12 Algebraic Expressions, the questions based on mainly algebraic identities and it applications. If the students have any problem with these solutions, please specify, we will try to rectify as soon as possible. Visit to main page or of the page.
Refer to our Textbook Solutions any time, while doing your homework or while preparing for the exam. Q14 : Find the shortest distance between the lines Answer : The equations of the given lines are It is known that the shortest distance between the lines, and , is given by, Comparing the given equations, we obtain Substituting all the values in equation 1 , we obtain Therefore, the shortest distance between the two lines is units. Direction cosines and direction ratios of a vector. Therefore, for the given equation, Thus, the intercepts cut off by the plane are. Q18 : Find the distance of the point — 1, — 5, — 10 from the point of intersection of the line and the plane.
Also, write the middle terms and extreme terms where the ratios form a proportion. The weight of 72 books is 9 kg. Students are suggested to follow these resources on a regular basis to prepare effectively for their exam. For other questions please visit to or or or go for Solutions. Q6 : Find the Cartesian equation of the line which passes through the point — 2, 4, — 5 and parallel to the line given by Answer : It is given that the line passes through the point — 2, 4, — 5 and is parallel to The direction ratios of the line, , are 3, 5, and 6. For other questions please visit to or or or go for Solutions.
A variable can take various values. How much does she has to pay for a whole year, if the rent per month remains same? Maths is not challenging if your basics are clear. Therefore, the direction cosines of the normal to the plane are and the distance of normal from the origin is units. The distance d between the points, 2, — 1, 2 and — 1, — 5, — 10 , is Q19 : Find the vector equation of the line passing through 1, 2, 3 and parallel to the planes and. Answer : The given lines are It is known that the shortest distance between two lines, , is given by Comparing to equations 1 and 2 , we obtain Substituting all the values in equation 1 , we obtain Therefore, the shortest distance between the two given lines is 9 units. For other questions please visit to or or or go for Solutions. Q4 : Find the equation of a line parallel to x-axis and passing through the origin.
Basic properties of definite integrals and evaluation of definite integrals. Students must know the mathematics exam thoroughly to score well in the subject. Find the ratio of speed of Hamid to the speed of Akhtar. This chapter will deal with how algebraic expressions are formed, how they can be combined, how we can find their values and how they can be used. Find the ratio of: a Present age of father to the present age of son. We have also provided solved examples at the end of every chapter to make concepts clear to our readers. Question 1: Get the algebraicexpressions in the following cases using variables, constants and arithmetic operations.
Find its area and perimeter. From equations 4 and 5 , we obtain Therefore, the direction ratios of are — 3, 5, and 4. Find the area of ground. Solution: In order to compare the cost of pen with that of ball pen, we must first find the cost of the same quantity of each of them. We are planning to upload class 12 R D Sharma, P K Garg, R S Aggarwal book solutions on this website that will be done with in the session 2018 — 2019.
The topics like differential equations, quadratic equations, calculus are excessively used in the derivations and numericals of both Chemistry and Physics as well. Such parts of an expression which are formed separately first and then added are known as terms. Continuity and Differentiability 5 — summary: Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit functions. This chapter will help the students to strengthen their foundation on Algebraic Expressions to deal with further complex topics meritoriously. Its value is not fixed. If Q is the angle between the given pair of lines, then Q12 : Find the values of p so the line and are at right angles. Find the area of triangle.
Out of 30 students in a class, 6 like football, 12 like cricket and remaining like tennis. Hence, the correct answer is D. Definite integrals as a limit of a sum, Fundamental Theorem of Calculus without proof. Maths plays a vital role in the success of students in class 12th boards and competitive exams. While helping the student get a grip on concepts to build a strong base, it helps them to understand the problems as well. All the given here are very easily understandable so that students do not face any difficulties regarding any of the solutions. The changes on this page is made to overcome this problem.