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Q1 Find the equation of the circle with centre (0, 2) and radius 2 Ans: The equation of a circle with centre (h, k) and radius r is given as
(x – h)2 + (y – k)2 = r2
It is given that centre (h, k) = (0, 2) and radius (r) = 2.
Therefore, the equation of the circle is
(x – 0)2 + (y – 2)2 = 22
x2 + y2 + 4 – 4 y = 4
x2 + y2 – 4y = 0
Q2 Find the equation of the circle with centre (–2, 3) and radius 4 Ans: The equation of a circle with centre (h, k) and radius r is given as
(x – h)2 + (y – k)2 = r2
It is given that centre (h, k) = (–2, 3) and radius (r) = 4.
Therefore, the equation of the circle is
(x + 2)2 + (y – 3)2 = (4)2
x2 + 4x + 4 + y2 – 6y + 9 = 16
x2 + y2 + 4x – 6y – 3 = 0
Chapter 11 Conic Secrtions
We are familiar with various concepts of lines, now we have to know about conic section. For various sections of cones like circle, ellipse, parabola, hyperbola etc. we need to go through the details of this chapter. The knowledge which we gain through it has great importance. These figures are related to our real life also like the shape of an egg is elliptical. It will be very interesting to know about them. This chapter has topics such as circle, ellipse, parabola, hyperbola, a point, a straight line, a pair of intersecting lines as a degenerate case of a conic section, standard equations of sections of cone.
Download pdf of NCERT Solutions for Class Mathematics Chapter 11 Conic Secrtions
Download pdf of NCERT Examplar with Solutions for Class Mathematics Chapter 11 Conic Secrtions
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:-
If the sum of three numbers in A.P., is 24 and their product is 440, find the numbers.
- Q:-
Find the sum to n terms of the series 52 + 62 + 72 + ... + 202
- Q:-
The 4th term of a G.P. is square of its second term, and the first term is –3. Determine its 7th term.
- Q:-
Sum of the first p, q and r terms of an A.P. are a, b and c, respectively.
Prove that
- Q:-
Given 5 flags of different colours, how many different signals can be generated if each signal requires the use of 2 flags, one below the other?
- Q:-
Given a G.P. with a = 729 and 7th term 64, determine S7.
- Q:-
Let S be the sum, P the product and R the sum of reciprocals of n terms in a G.P. Prove that P2Rn = Sn
- Q:-
Find the sum to n terms of the series 1 × 2 + 2 × 3 + 3 × 4 + 4 × 5 + …
- Q:-
Find the sum of all two digit numbers which when divided by 4, yields 1 as remainder.
- Q:-
A man starts repaying a loan as first installment of Rs. 100. If he increases the installment by Rs 5 every month, what amount he will pay in the 30th installment?
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