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Q1 Draw a quadrilateral in the Cartesian plane, whose vertices are (– 4, 5), (0, 7), (5, – 5) and (– 4, –2). Also, find its area.
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Q2 The base of an equilateral triangle with side 2a lies along the y-axis such that the mid-point of the base is at the origin. Find vertices of the triangle.
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Q3 Find the distance between P (x1, y1) and Q (x2, y2) when : (i) PQ is parallel to the y-axis, (ii) PQ is parallel to the x-axis.
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Q4 Find a point on the x-axis, which is equidistant from the points (7, 6) and (3, 4).
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Q5 Find the slope of a line, which passes through the origin, and the mid-point of the line segment joining the points P (0, – 4) and B (8, 0).
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Straight Lines Question Answers: NCERT Class 11 Mathematics
Welcome to the Chapter 10 - Straight Lines, Class 11 Mathematics - NCERT Solutions page. Here, we provide detailed question answers for Chapter 10 - Straight Lines.The page is designed to help students gain a thorough understanding of the concepts related to natural resources, their classification, and sustainable development.
Our solutions explain each answer in a simple and comprehensive way, making it easier for students to grasp key topics and excel in their exams. By going through these Straight Lines question answers, you can strengthen your foundation and improve your performance in Class 11 Mathematics. Whether you're revising or preparing for tests, this chapter-wise guide will serve as an invaluable resource.
In earlier classes, you have read about lines in the Euclid geometry section. That is just an introduction but now we go in depth of lines and its various aspects. Concepts of lines are very essential to know about conics and 2d-3d geometry, which we will discuss later. This chapter consists of basics of 2d geometry, shifting of origin, slope of line, angle between two lines, various forms of equation of line point - slope form slope intercept form, two points form, intercept form, normal form, etc., general equation of line, distance of a point from a line, equation of family of lines.
Download PDF - Chapter 10 Straight Lines - Class 11 Mathematics
Download PDF - NCERT Examplar Solutions - Chapter 10 Straight Lines - Class 11 Mathematics
Exercise 1
Key Features of NCERT Class 11 Mathematics Chapter 'Straight Lines' question answers :
- All chapter question answers with detailed explanations.
- Simple language for easy comprehension.
- Aligned with the latest NCERT guidelines.
- Perfect for exam preparation and revision.
Popular Questions of Class 11 Mathematics
- Q:-
Find the sum of integers from 1 to 100 that are divisible by 2 or 5.
- Q:-
If the sum of three numbers in A.P., is 24 and their product is 440, find the numbers.
- Q:-
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?
- Q:- Find the sum of all natural numbers lying between 100 and 1000, which are multiples of 5.
- Q:-
The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms.
- Q:-
How many terms of G.P. 3, 32, 33, … are needed to give the sum 120?
- Q:-
Find the sum of all numbers between 200 and 400 which are divisible by 7.
- Q:- Write the following sets in roster form:
(i) A = {x: x is an integer and - 3 < x < 7}.
(ii) B = {x: x is a natural number less than 6}.
(iii) C = {x: x is a two-digit natural number such that the sum of its digits is 8}
(iv) D = {x: x is a prime number which is divisor of 60}.
(v) E = The set of all letters in the word TRIGONOMETRY.
(vi) F = The set of all letters in the word BETTER. - Q:-
Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.
- Q:-
Find the sum of all two digit numbers which when divided by 4, yields 1 as remainder.
Recently Viewed Questions of Class 11 Mathematics
- Q:-
A coin is tossed 3 times and the outcomes are recorded. How many possible outcomes are there?
- Q:-
How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that
(i) repetition of the digits is allowed?
(ii) repetition of the digits is not allowed?
- Q:-
Find a point on the x-axis, which is equidistant from the points (7, 6) and (3, 4).
- Q:-
A die is thrown repeatedly until a six comes up. What is the sample space for this experiment?
- Q:-
Suppose 3 bulbs are selected at random from a lot. Each bulb is tested and classified as defective (D) or non-defective (N). Write the sample space of this experiment?
- Q:-
The first term of a G.P. is 1. The sum of the third term and fifth term is 90. Find the common ratio of G.P.
- Q:-
Find the sum to n terms of the series whose nth term is given by n (n + 1) (n + 4).
- Q:-
The sum of three numbers in G.P. is 56. If we subtract 1, 7, 21 from these numbers in that order, we obtain an arithmetic progression. Find the numbers.
- Q:-
If the sum of n terms of an A.P. is 3n2 + 5n and its mth term is 164, find the value of m.
- Q:-
Three coins are tossed once. Let A denote the event ‘three heads show”, B denote the event “two heads and one tail show”. C denote the event “three tails show” and D denote the event ‘a head shows on the first coin”. Which events are
(i) mutually exclusive? (ii) simple? (iii) compound?
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