Thursday 25 December 2014

CBSE CLASS X MATHS IMPORTANT QUESTION

12/25/2014                                                                                                         SHIVANGSONI(MVM)


  • Prove that √5 is irrational.

  • Show that (4 - √3) is irrational.
  • Divide 30x4 + 11x3 - 82x2 - 12x + 48 by (3x2 + 2x - 4) & verify the result by division algorithm.
  • Prove that 3+√5 is an irrational number.
  • Find a Q.P. the sum of whose zeroes is 7 & their product is 12. Hence find the zeroes of the polynomials.
  • Find all the zeroes of the polynomials x3 + 3x2 - 2x - 6, if two of its zeroes are -√2 & √2.
  • If α,  β are the zeroes of the polynomials, such that α+ β = 6 α β = 4, then write the polynomials.
  • For what value of k, will the following system of linear equations have infinitely many solutions? 2x + 3y = 4 & (k+2)x + 6y=3k + 2.
  • Determine a & b for which the following system of linear equations has infinite number of solutions 2x - (a - 4) y = 2b + 1; 4x - (a -1) y = 5b -1.
  • If 6 years hence a man’s age will be 3times the age of his son & three years ago he was 9times as old as his son, find the present age of the man
  • No comments: