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RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C

July 18, 2018 by Veerendra

RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C

These Solutions are part of RS Aggarwal Solutions Class 10. Here we have given RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C

Other Exercises

  • RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10A
  • RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10B
  • RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C
  • RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10D

RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C a1

Exercise 10C

Question 1:
The given equation is RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations Q1
This is of the form ax2+bx+c=0, we get
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 1.1
So the given equation has real and equal roots

More Resources

  • RS Aggarwal Solutions Class 10
  • RD Sharma Class 10 Solutions
  • NCERT Solutions

Question 2:
The given equation is RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations Q2
This is of the form ax2+bx+c=0, we get
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 2.1
So the given equation has real and equal roots

Question 3:
The given equation is RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations Q3
This is of the form ax2+bx+c=0, we get
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 3.1
So the given equation has real and equal roots

Solving A Quadratic Equation By Completing The Square

Question 4:
The given equation is RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations Q4
This is of the form ax2+bx+c=0, we get
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 4.1
So the given equation has real and equal roots

Question 5:
The given equation is RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations Q5.1
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations Q5.2
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 5.1
So the given equation has real and equal roots

Question 6:
The given equation is RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 6.1
This is of the form ax2+bx+c=0, we get
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 6.2
So the given equation has real and equal roots

Question 7:
The given equation is RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 7.1
This is the form of ax2+bx+c=0
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 7.2
Now D≥0
So, the roots of the given equation are real for all real value of p and q.

Question 8:
The given equation is RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 8.1
a = 1, b = a, c = -1
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 8.2
So, the roots of the given equation are real and distinct for all real values of a.

Question 9:
The given equation is RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 9.1
This is of form ax2+bx+c=0, when
a = 1, b = -1, c = 2
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 9.2
So the equation has no real roots

Question 10:
The given equation is RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 10.1
This is of the form ax2+bx+c=0, where a = k, b = 2, c = 1
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 10.2
The given equation will have real and distinct roots if
Now, RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 10.3

Question 11:
The given equation is RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 11.1
This is of the form ax2+bx+c=0, where
a = 2, b = p, c = 8
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 11.2
The given equation will have real roots if D≥0
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 11.3

Question 12:
The given equation is RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 12.1
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 12.2
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 12.3
For real and equal roots, we must have D = 0
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 12.4

Question 13:
The given equation is
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 13.1
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 13.2
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 13.3
For real and equal roots, we must have D = 0
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 13.4

Question 14:
The given equation is
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 14.1
This is the form of ax2+bx+c=0
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 14.2
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 14.3
For real and equal roots, we must have D = 0
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 14.4

Question 15:
The given equation is RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 15.1
This is the form of ax2+bx+c=0
a = 9, b = 8k, c= 16
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 15.2

Question 16:
The given equation is RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 16.1
This is the form of ax2+bx+c=0
a = k+4, b = k+1, c = 1
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 16.2
For real and equal roots we must have D = 0
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 16.3

Question 17:
RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C 17.1

Hope given RS Aggarwal Solutions Class 10 Chapter 10 Quadratic Equations 10C are helpful to complete your math homework.

If you have any doubts, please comment below. A Plus Topper try to provide online math tutoring for you.

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