In this chapter, we provide RS Aggarwal Solutions for Class 10 Chapter 10 Quadratic Equations 10A Maths for English medium students, Which will very helpful for every student in their exams. Students can download the latest RS Aggarwal Solutions for Class 10 Chapter 10 Quadratic Equations 10A Maths pdf, free RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10A Maths book pdf download. Now you will get step by step solution to each question.

Textbook | NCERT |

Class | Class 10 |

Subject | Maths |

Chapter | Chapter 10 |

Chapter Name | Quadratic Equations |

Exercise | 10 A |

Category | RS Aggarwal Solutions |

**RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10A**

**Exercise 10A**

**Question 1:**

(i) x^{2}-x+3=0 is a quadratic polynomial.

∴ x^{2}-x+3=0 is a quadratic equation.

(ii) 2x^{2}+ 52x-√3=0

⇒ 4x^{2}+5x-2√3=0

Clearly is 4x^{2}+5x-2√3=0 a quadratic polynomial.

∴ 2x^{2}+ 52x-√3=0 is a quadratic equation.

(iii) √2x^{2}+7x+5√2=0 is a quadratic polynomial.

∴ √2x^{2}+7x+5√2=0 is a quadratic equation.

(iv)13x^{2}+15x-2=0

⇒ 5x^{2}+3x-2=0

Clearly, 5x^{2}+3x-2=0 is a quadratic equation.

13x^{2}+15 is a quadratic equation.

(v) x^{2}-3x-√x+4=0 is not a quadratic polynomial since it contains √x, in which power 1/2 of x is not an integer.

∴ x^{2}-3x-√x+4=0 is not a quadratic equation.

(vi) x-6x=3

⇒ x^{2}-3x-6 =0

And (x^{2}-3x-6)Being a polynomial of degree 2, it is a quadratic polynomial.

Hence, x-6x=3 is a quadratic equation.

(vii) x+2x= x^{2}

⇒ x^{3}-x^{2}-2 =0

And (x^{3}-x^{2}-2 =0) being a polynomial of degree 3, it is not a quadratic polynomial.

Hence, x+2x= x^{2} is not a quadratic equation.

(viii) x2−1×2=5 ⇒ x^{4} -1=5x^{2}

⇒x^{4}-5x^{2}-1 =0

And (x^{4}-5x^{2}-1 =0) being a polynomial of degree 4.

Hence x2−1×2=5 is not a quadratic equation.

**Question 2:**

The given equation is 3x^{2}+2x-1=0

(i) On substituting x = -1 in the equation, we get

(ii) On substituting x=13 in the equation, we get

(iii) On substituting x=−12 in the equation , we get

**Question 3:**

Since x = 1 is a solution of x^{2}+kx+3=0 it must satisfy the equation.

Hence the required value of k = -4**Question 4:**

Since x=34 is a root of ax^{2}+bx-6=0, we have

Again x = -2 being a root of ax^{2}+bx-6=0, we have

Multiplying (2) by 4 adding the result from (1), we get

11a = 44 ⇒ a = 4

Putting a = 4 in (1), we get**Question 5:****Question 6:****Question 7:**

Hence, 9 and -9 are the roots of the equation 3x^{2}-243=0.**Question 8:**

Hence, -5 and -7 are the roots of x^{2}+12x+35=0.**Question 9:**

Hence, 11 and 7 are the roots of equation x^{2}=18x-77**Question 10:**

Hence, x=−13 is the repeated root of the equation 9x^{2}+6x+1=0**Question 11:**

Hence, is the repeated root of the equation**Question 12:**

Hence, x=−32, x=−12are the roots of 6x^{2}+11x+3=0**Question 13:**

Hence, x=43 and x=−32 are the roots of equation 6x^{2}+x-12=0

**Question 14:**

Hence, x=−13 and 1 are the roots of the equation 3x^{2}-2x-1=0.**Question 15:**

Hence, x=23 and x=−12are the roots of equation 6x^{2}-x-2=0.**Question 16:**

Hence, x=−116 and x=23 are the roots of 48x^{2}-13x-1=0.**Question 17:**

Hence, x=−53 and x=-2 are the roots of the equation 3x^{2}+11x+10=0**Question 18:**

Hence,x=254 and x=-4 are the roots of the equation 4x^{2}-9x=100.**Question 19:**

Hence, x=49 and 2 are the roots of the equation 9x^{2}-22+8=0**Question 20:**

Hence, x=75 and x=−43 are the roots of the given equation 15x^{2}-28=x.**Question 21:**

Hence, x=13 and -4 are the roots of the given equation.**Question 22:**

Hence, 1 and √2 are the roots of the given equation**Question 23:****Question 24:****Question 25:**

Hence, −7√3 and 7√7 are the roots of given equation.**Question 26:**

Hence, -√7 and 137√7 are the roots of given equation.**Question 27:**

Hence, 26√3 and −6√8are the roots of given equation.**Question 28:**

Hence, 5 and −75are the roots of given equation**Question 29:**

Hence, −15 and 12are the roots of given equation.**Question 30:**

Hence, 2 and 12 are the roots of given equation.**Question 31:**

Hence, −ba and cb are the roots of given equation.**Question 32:**

Hence, −1a2 and 1b2are the roots of given equation.**Question 33:**

Hence, 3a4b and −2b3a are the roots of given equation.**Question 34:**

Hence, a22 and b22are the roots of given equation.**Question 35:**

Hence, 2 and 1 are the roots of the given equation**Question 36:**

Hence, -9 and 7 are the roots of the given equation**Question 37:**

Hence, -4 and 94 are the roots of the given equation**Question 38:**

Hence 4013 and 6 are the roots of the given equation**Question 39:**

Hence, 4 and −29 are the roots of the given equation**Question 40:**

Hence, 3 and 43 are the roots of the given equation.**Question 41:**

Hence, 5 and 12 are the roots of the given equation.**Question 42:**

Putting the given equation become

Case I:

Case II:

Hence, −32 and -2 are the roots of the given equation**Question 43:**

Putting the given equation become

Case I:

Case II:

Hence, -1 and −235 are the roots of the given equation**Question 44:**

On putting the given equation become

Case I:

Case II:

Hence, -10 and −15 are the roots of the given equation.**Question 45:**

Putting the given equation become

Case I:

Case II:

Hence, -1 and 18 are the roots of the given equation**Question 46:**

The given equation

Hence, (a+b) and (a+b)2 is the roots of the given equation**Question 47:**

Hence, a+bab and 2a+b are the roots of the given equation**Question 48:**

Hence, -2,0 are the roots of the given equation**Question 49:**

Hence, 12 and 12 are the roots of the given equation**Question 50:**

**All Chapter RS Aggarwal Solutions For Class 10 Maths**

—————————————————————————–**All Subject NCERT Exemplar Problems Solutions For Class10**

**All Subject NCERT Solutions For Class 10**

*************************************************

I think you got complete solutions for this chapter. If You have any queries regarding this chapter, please comment on the below section our subject teacher will answer you. We tried our best to give complete solutions so you got good marks in your exam.

If these solutions have helped you, you can also share rsaggarwalsolutions.in to your friends.