**RD Sharma Solutions Class 11 Maths Chapter 27 Exercise 27.1: **Download Free PDF of **RD Sharma Class 11 Solutions Chapter 27** Exercise 27.1. Kopykitab’s experts have created these solutions in such a way that they help students handle problems in the most effective way feasible.

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## Download RD Sharma Class 11 Solutions Chapter 27 Exercise 27.1 Free PDF

RD Sharma Solutions Class 11 Maths Chapter 27 Exercise 27.1

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### Access answers to RD Sharma Solutions Class 11 Maths Chapter 27 Exercise 27.1- Important Question with Answers

**1. The equation of the directrix of a hyperbola is x – y + 3 = 0. Its focus is (-1, 1) and eccentricity 3. Find the equation of the hyperbola.**

**Solution:**

**2. Find the equation of the hyperbola whose**

**(i) focus is (0, 3), directrix is x + y – 1 = 0 and eccentricity = 2**

**(ii) focus is (1, 1), directrix is 3x + 4y + 8 = 0 and eccentricity = 2**

**(iii) focus is (1, 1) directrix is 2x + y = 1 and eccentricity =√3**

**(iv) focus is (2, -1), directrix is 2x + 3y = 1 and eccentricity = 2**

**(v) focus is (a, 0), directrix is 2x + 3y = 1 and eccentricity = 2**

**(vi)focus is (2, 2), directrix is x + y = 9 and eccentricity = 2**

**Solution:**

**Hyperbola Ex 27.1 Q2(i)****Hyperbola Ex 27.1 Q2(ii)****Hyperbola Ex 27.1 Q2(iii)****Hyperbola Ex 27.1 Q2(iv)****Hyperbola Ex 27.1 Q2(v)****Hyperbola Ex 27.1 Q2(vi)**

**3. Find the eccentricity, coordinates of the foci, equations of directrices, and length of the latus-rectum of the hyperbola.(i) 9x ^{2} – 16y^{2} = 144**

**(ii) 16x ^{2} – 9y^{2} = -144**

**(iii) 4x ^{2} – 3y^{2} = 36**

**(iv) 3x ^{2} – y^{2} = 4**

**Solution:**

**Hyperbola Ex 27.1 Q3(i)****Hyperbola Ex 27.1 Q3(ii)****Hyperbola Ex 27.1 Q3(iii)****Hyperbola Ex 27.1 Q3(iv)**

**4. Find the axes, eccentricity, latus-rectum and the coordinates of the foci of the hyperbola 25x ^{2} – 36y^{2} = 225.**

**Solution:**

**5. Find the centre, eccentricity, foci and directions of the hyperbola(i) 16x ^{2} – 9y^{2} + 32x + 36y – 164 = 0**

**(ii) x ^{2} – y^{2} + 4x = 0**

**(iii) x ^{2} – 3y^{2} – 2x = 8**

**Solution:**

**Hyperbola Ex 27.1 Q5(i)****Hyperbola Ex 27.1 Q5(ii)****Hyperbola Ex 27.1 Q5(iii)****Hyperbola Ex 27.1 Q6(i)****Hyperbola Ex 27.1 Q6(ii)****Hyperbola Ex 27.1 Q6(iii)****Hyperbola Ex 27.1 Q7(i)****Hyperbola Ex 27.1 Q7(ii)****Hyperbola Ex 27.1 Q7(iii)****Hyperbola Ex 27.1 Q7(iv)****Hyperbola Ex 27.1 Q8****Hyperbola Ex 27.1 Q9(i)****Hyperbola Ex 27.1 Q9(ii)****Hyperbola Ex 27.1 Q10****Hyperbola Ex 27.1 Q11(i)****Hyperbola Ex 27.1 Q11(ii)****Hyperbola Ex 27.1 Q11(iii)****Hyperbola Ex 27.1 Q11(iv)****Hyperbola Ex 27.1 Q11(v)****Hyperbola Ex 27.1 Q11(vi)****Hyperbola Ex 27.1 Q11(vii)****Hyperbola Ex 27.1 Q11(viii)****Hyperbola Ex 27.1 Q11(ix)****Hyperbola Ex 27.1 Q11(x)****Hyperbola Ex 27.1 Q12****Hyperbola Ex 27.1 Q13**

We have provided complete details of RD Sharma Solutions Class 11 Maths Chapter 27 Exercise 27.1. If you have any queries related to **CBSE** Class 11, feel free to ask us in the comment section below.

## FAQs on RD Sharma Class 11 Solutions Chapter 27 Exercise 27.1

### How many questions are there in RD Sharma Class 11 Solutions Chapter 27 Exercise 27.1?

There are a total of 13 questions in RD Sharma Class 11 Solutions Chapter 27 Exercise 27.1.

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