Class 10 Maths NCERT Complete Solutions Chapter wise
Chapter 1. Real Numbers Solutions
Chapter 2. Polynomials Solutions
Chapter 3. Pair of Linear Equations in Two Variables Solutions
Chapter 4. Quadratic Equations Solutions
Chapter 5. Arithmetic Progression Solutions
Chapter 6. Triangles Solutions
Chapter 7. Coordinate Geometry Solutions
Chapter 8. Introduction to Trigonometry Solutions
Chapter 9. Some Applications of Trigonometry Solutions
Chapter 10. Circles Solutions
Chapter 11. Area Related to Circles Solutions
Chapter 12. Surface Areas and Volumes Solutions
Chapter 13. Statistics Solutions
Chapter 14. Probability Solutions
NCERT Class 10 Maths Ch.2 Polynomials Ex 2.1
Solution:
The number of zeroes of a polynomial equals the number of points where its graph meets the x-axis (count each distinct x-intersection once). For the six graphs shown in Fig. 2.10 the answers are:
(i) zero zeroes
(ii) one zero,
(iii) three zeroes
(iv) two zeroes
(v) four zeroes and
(vi) three zeroes.
NCERT Class 10 Maths Ch.2 Polynomials Ex 2.2
Q1: Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. (i) x2−2x−8 (ii) 4s2−4s+1 (iii) 6x2−3−7x (iv) 4u2+8u (v) t2−15 (vi) 3x2−x−4
Solution:
Q2:
Solution:
A quadratic polynomial can be formed using the formula: k(x2−(sum of zeroes)x+(product of zeroes)) where k is any non-zero constant. We can simply take k=1 for the simplest polynomial.
