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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. Ans: Our experts will give the answer soon.
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. Ans: Our experts will give the answer soon.
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. Ans: Our experts will give the answer soon.
Q4 Find a point on the x-axis, which is equidistant from the points (7, 6) and (3, 4). Ans: Our experts will give the answer soon.
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). Ans: Our experts will give the answer soon.
Chapter 10 Straight Lines
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 of NCERT Solutions for Class Mathematics Chapter 10 Straight Lines
Download pdf of NCERT Examplar with Solutions for Class Mathematics Chapter 10 Straight Lines
Exercise 1
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:-
Give three examples of sentences which are not statements. Give reasons for the answers.
- Q:-
Find the sum to n terms in the geometric progression 1,-a, a2,-a3, ... (if a ≠ -1)
- Q:-
Name the octants in which the following points lie:
(1, 2, 3), (4, –2, 3), (4, –2, –5), (4, 2, –5), (–4, 2, –5), (–4, 2, 5), (–3, –1, 6), (2, –4, –7)
- Q:-
Find the 12th term of a G.P. whose 8th term is 192 and the common ratio is 2.
- Q:-
The sum of some terms of G.P. is 315 whose first term and the common ratio are 5 and 2, respectively. Find the last term and the number of terms.
- 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:-
Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.
- Q:-
Show that the sum of (m + n)th and (m – n)th terms of an A.P. is equal to twice the mth term.
- Q:-
Find the sum to n terms in the geometric progression x3, x5, x7 ... (if x ≠ ±1)
- Q:-
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?
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