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

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.

### Exercise 10A

Question 1:

(i)   x2-x+3=0 is a quadratic polynomial.
∴  x2-x+3=0 is a quadratic equation.

(ii) 2x2+ 52x-√3=0
⇒ 4x2+5x-2√3=0
Clearly is 4x2+5x-2√3=0 a quadratic polynomial.
∴ 2x2+ 52x-√3=0 is a quadratic equation.

(iii) √2x2+7x+5√2=0 is a quadratic polynomial.
∴ √2x2+7x+5√2=0 is a quadratic equation.

(iv)13x2+15x-2=0
⇒ 5x2+3x-2=0
Clearly, 5x2+3x-2=0 is a quadratic equation.

(v) x2-3x-√x+4=0 is not a quadratic polynomial since it contains √x, in which power 1/2 of x is not an integer.
∴ x2-3x-√x+4=0 is not a quadratic equation.

(vi) x-6x=3
⇒ x2-3x-6 =0
And (x2-3x-6)Being a polynomial of degree 2, it is a quadratic polynomial.
Hence, x-6x=3 is a quadratic equation.

(vii) x+2x= x2
⇒ x3-x2-2 =0
And (x3-x2-2 =0) being a polynomial of degree 3, it is not a quadratic polynomial.
Hence, x+2x= x2 is not a quadratic equation.

(viii) x2−1×2=5 ⇒ x4 -1=5x2
⇒x4-5x2-1 =0
And (x4-5x2-1 =0) being a polynomial of degree 4.
Hence x2−1×2=5 is not a quadratic equation.

Question 2:
The given equation is 3x2+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 x2+kx+3=0 it must satisfy the equation. Hence the required value of k = -4
Question 4:
Since x=34 is a root of  ax2+bx-6=0, we have  Again x = -2 being a root of ax2+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 3x2-243=0.
Question 8: Hence, -5 and -7 are the roots of x2+12x+35=0.
Question 9: Hence, 11 and 7 are the roots of equation x2=18x-77
Question 10: Hence, x=−13 is the repeated root of the equation 9x2+6x+1=0
Question 11: Hence,  is the repeated root of the equation
Question 12: Hence, x=−32, x=−12are the roots of 6x2+11x+3=0
Question 13: Hence, x=43 and x=−32 are the roots of equation 6x2+x-12=0

Question 14: Hence, x=−13 and 1 are the roots of the equation 3x2-2x-1=0.
Question 15: Hence, x=23 and x=−12are the roots of equation 6x2-x-2=0.
Question 16: Hence, x=−116 and x=23 are the roots of 48x2-13x-1=0.
Question 17: Hence, x=−53 and x=-2 are the roots of the equation 3x2+11x+10=0
Question 18: Hence,x=254 and x=-4 are the roots of the equation 4x2-9x=100.
Question 19: Hence,  x=49 and 2 are the roots of the equation 9x2-22+8=0
Question 20: Hence,  x=75 and x=−43 are the roots of the given equation 15x2-28=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

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All Subject NCERT Solutions For Class 10

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