Important Questions for Class 10 Maths Arithmetic progressions 1. Find the common difference of an AP in which a21 – a7 = 84. 2. Find the 10th term of the A.P : 2,7,12……… 3. Which term of the A.P : 21,18,15………….. is – 18? 4. Determine A.P whose 3rd term is 5 and the 7th … Read more
Important Questions for Class 10 Maths Polynomials 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 … Read more
Maths formulas for class 10 Following is the list of formulas . You can download it in this post. Students are advised to avoid the deleted portion if any. Because in every session some topics are added or deleted by the concerned boards. Ncert Solutions Class 10 Maths Exercise 1.1 https://10thmathsguide.com/exercise-11-class-10-maths/ Ncert Solutions Class 10 … Read more
Find two numbers whose sum is 27 and product is 182 Solution: let one number be x then other number is 27 – x. A.T.Q. x(27-x) = 182 27x – x² – 182 = 0 x² – 27x + 182 = 0 x² – 14x – 13x + 182 = 0 x(x – 14) -13(x … Read more
Five year hence the age of jacob will be three times that of his son. 5 years ago jacob was seven time that of his son. What are their present ages ? Solution : let present age of Jacob be x years and the present age of the son be y years. 5 years hence … Read more
The larger of two supplementary angles exceeds the smaller by 18 degrees. Find them Solution : let to supplementry angles be x and y. Where x> y . Therefore x + y = 180 ………….(i) And. x = y + 18 ………….(ii) Put equation (ii) in ,(i) y + 18 + y = 180 2y … Read more
There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose the both start at the same point and at the same time , and go in the same direction. After how many minutes will they meet … Read more
Explain why 7 x 11 x 13 + 13 and 7 x 6 x 5 x 4 x 3 x 2 x 1 + 5 are composite numbers Sol. 7 x 11 x 13 + 13 = 13 ( 7 x 11 + 1) which is a composite number because it has a factor 13. … Read more
Check whether 6^n can end with the digit 0 for any natural number n No, 6^n cannot end with the digit 0, for any natural number. To end with the digit 0 the prime factorisation of the number should contain 2 and 5 as its prime factors but prime factorisation of 6^n = ( 2 … Read more
Prove that 3 +2√5 is irrational let us assume to the contrary that 3+ 2√5 is a rational number. So 3 + 2√5 = p/q , where p and q are coprime integers and q is not equal to zero 2√5 = p/q -3 2√5 = (p-3q)/q √5= (p-3q)/2q since √5 is irrational but (p-3q)/2q … Read more
