google.com, pub-6134685647193646, DIRECT, f08c47fec0942fa0 Important Questions For Class 10 Maths Polynomials - 10th Maths Guide
Important Questions for Class 10 Maths Polynomials

Important Questions for Class 10 Maths Polynomials

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Important Questions for Class 10 Maths Polynomials

Important Questions for Class 10 Maths Polynomials
Important Questions for Class 10 Maths Polynomials
  1. Find a quadratic polynomial, the sum of whose zeroes is 0 and one zero is 3
  2. What should be added to the polynomial x2-5x +4, so that 3 is the zero of resulting polynomial ?

3. Find the zeroes of the quadratic polynomial x2 + 7x + 12 and verify the relation between the zeroes and coefficients.

4. If 2 and ½ are zeroes of px2 + 5x + r, then find the values of p and r   

5. Find the zeroes of x2 + 7x + 10 and verify the relationship between the zeroes and the co-efficients

  1. If a and b are the zeroes of the quadratic polynomial f(x) = x2– x – 2, find a polynomial whose zeroes are 2a+1 and 2b+1.
  2. If a and b are the zeroes of the quadratic polynomial f(x) = 3x2-4x+1 , find a quadratic polynomial whose zeroes are a2/b and b2/a .
  3. Find a quadratic polynomial whose zeroes are reciprocal of the zeroes of the polynomial f(x) =2x2-5x+7.
  4. If 𝛼 𝑎𝑛𝑑 𝛽 are the zeroes of the quadratic polynomial f(x) = 6x2+x -2, find the value of   𝛼/𝛽 + 𝛽/𝛼
  5. If a and b are the zeroes of the quadratic polynomial such that a+b =24  and   a-b =8 ,find a quadratic polynomial having a and b as its zeroes.
  6. If α and β are the zeroes of the polynomial f(x) = 2 x2 + 5 x + k satisfying the relation α2+ β2+α β. =21/4. Find the values of k for this to be possible.
  1. If α and β are the zeroes of the polynomial f(x) =  kx2 + 4 x + 4 satisfying the relation  α2  + β2  = 24. Find the values of k.
  2. If α and β are the zeroes of the polynomial f(x) =  x2 – 5x + k such that α- β = 1. Find the value of k.
  3. If sum of the squares of the quadratic polynomial  f(x) =  x2 -8 x + k is 40, find the values of k.
  4. Find the zeroes of the polynomial
  5. Find a quadratic polynomial with zeroes 3 + 2 and 3 – 2
  6. If α and β are the zeroes of the polynomial f(x) =  4x2 – 2 x +(k – 4 ) and α =1/β .Find the values of k.
  7. If α and β are the zeroes of the polynomial f(x) = x2 – 4x + 3, then form a quadratic polynomial whose zeroes are 3α and 3β
  8. If α and β are the two zeroes of the polynomials 25 p2 – 15 p + 2, find a quadratic polynomial whose zeroes are 1/2α and 1/2β
  9. If α and β are the zeroes of the quadratic polynomial f(x) = x2 + x – 2 , find the value of 1/α -1/β.

Direction for following Important Questions for Class 10 Maths Polynomials : A statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option.

  1. Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  2. Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
  3. Assertion (A) is true but Reason (R) is false.
  4. Assertion (A) is false but Reason (R) is true. 21. Assertion (A) : If the zeroes of the quadratic polynomial ( k – 1) x2 + kx + 1 is – 3, then the value of k is 4/3.

Reason ( R): If -1 is a zero of the polynomial p(x) = kx2 – 4x + k, then the value of k is – 2

  1. Assertion (A): If both zeroes of the quadratic polynomial x2 – 2kx +2 are equal in magnitude but opposite in sign then value of k is ½

Reason ( R): Sum of zeroes of a quadratic polynomial ax2 + bx + c is –b/a.

Ncert Solutions Class 10 Maths Exercise 1.1 https://10thmathsguide.com/exercise-11-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 1.2

exercise 1.2 Class 10 Maths | real numbers class 10

 

Ncert Solutions Class 10 Maths Exercise 2.1 https://10thmathsguide.com/exercise-21-class-10-maths/

 

Ncert Solutions Class 10 Maths Exercise 2.2

exercise 2.2 class 10 maths | Polynomials class 10 Maths

 

Ncert Solutions Class 10 Maths Exercise 3.1 https://10thmathsguide.com/exercise-31-class-10-maths/

 

Ncert Solutions Class 10 Maths Exercise 3.2 https://10thmathsguide.com/exercise-32-class-10-maths/

 

Ncert Solutions Class 10 Maths Exercise 3.3 https://10thmathsguide.com/exercise-33-class-10-maths/

 

Ncert Solutions Class 10 Maths Exercise 4.1 https://10thmathsguide.com/exercise-41-class-10-maths/

 

Ncert Solutions Class 10 Maths Exercise 4.2 https://10thmathsguide.com/exercise-42-class-10-maths/

 

Ncert Solutions Class 10 Maths Exercise 4.3 https://10thmathsguide.com/exercise-43-class-10-maths/

MCQ VIDEOS ALL CHAPTERS CLASS 10 MATHShttps://www.youtube.com/watch?v=-eBlHyBxjLg&list=PL2uPMjJCHErQZZNipbsnagBqPrCU_WRN8

MCQ Questions for Class 10 Maths all Chaptershttps://sharmatutorial.in/category/mcq-class-10-maths/

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Important Questions for Class 10 Maths Polynomials

Important Questions for Class 10 Maths Polynomials

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