Maths 10th class hard questions and answers
Answers
Some CBSE class 10 Math Important questions have been compiled below:
1. Prove that 1/(2+√3) is an irrational number.
2. Prove that √5 is an irrational number.
3. Show that any positive odd integer is of the form (6p+1), (6p+3) or (6p+5), where p is some integer.
4. Find the HCF and LCM of 306 and 54. Verify that HCF × LCM = Product of the two numbers.
5. A merchant has 120 litres of oil of one kind, 180 litres of another kind and 240 litres of third kind. He wants to sell the oil by filling the three kinds of oil in tins of equal capacity. What should be the greatest capacity of such a tin?
6. Use Euclid’s Lemma to show that square of any positive integer is of form 4 m or 4m+1 for some integer m.
7. If the ratio of the corresponding sides of two similar triangles is 2:3, then what is the ratio of their corresponding height?
8. The areas of two similar triangles and are 25cm2 and 49 cm2 respectively. If QR = 9.8 cm, find BC.
9. DE is parallel to BC. If AD = 12.4 cm, DB = 6.2cm, AE = 2x and EC = 6x – 2. Find the value of x.
10. Prove that if a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points then the other two sides are divided in the same ratio.
hope it will help you mark me as brainlist
