CBSE Class 10 Mathematics Question Paper 2019 Set 13 Solved

CBSE Class 10 Mathematics Question Paper Solved 2019 Set M. Students can download the last year board exams question papers using the link below. Free download of examination question papers with solutions. Last 10 year question papers should be practised to get better marks in examinations.

SECTION A

1. If in an A.P., a = 15, d = – 3 and an = 0, then find the value of n.

2. If sin x + cos y = 1; x = 30° and y is an acute angle, find the value of y.

OR

Find the value of (cos 48° – sin 42° ).

3. The area of two similar triangles are 25 sq. cm and 121 sq. cm. Find the ratio of their corresponding sides.

4. The HCF of two numbers a and b is 5 and their LCM is 200. Find the product ab.

5. Find the value of k for which x = 2 is a solution of the equation kx² + 2x – 3 = 0.

OR

Find the value/s of k for which the quadratic equation 3x² + kx + 3 = 0 has real and equal roots.

6. Find the values of x for which the distance between the points A(x, 2) and B(9, 8) is 10 units.

SECTION B

7. Find the HCF of 612 and 1314 using prime factorisation.

OR

Show that any positive odd integer is of the form 6m + 1 or 6m + 3 or 6m + 5, where m is some integer.

8. For what value of k, does the system of linear equations

2x + 3y = 7

(k – 1) x + (k + 2) y = 3k 

have an infinite number of solutions ?

9. If S_n, the sum of the first n terms of an A.P. is given by Sn = 2n² + n, then find its n^th term.

OR

If the 17^th  term of an A.P. exceeds its 10th term by 7, find the common difference. 

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