CBSE Class 10 Mathematics 2018 Important Topics, Solved Answers And Model Question Papers

Real Numbers

Question

Use Euclid's Algorithm to find the HCF of 135 and 225

Solution

225>135

Use the division lemma to divide the two positive numbers:

225=135 + 1x90

135=90+45

90=2x45

225=135 + 2x45

Since 45 divides 225 and 135 exactly, 45 is the HCF

Polynomials

Question

If a and b are the zeroes of the quadratic polynomial f(x) = 6x^2 + x = 2, find the value of a/b + b/a

Solution

f(x) = 6x^2 + x = 2
Since a and b are the zeroes of the given polynomial,
Sum of zeroes (a+b) = -1/6
ab = -1/3

a/b + b/a = ((a+b)^2 - 2ab)/ab

Triangles

Find out if the following statements are true or false:

• Any two similar figures are congruent - False
• Any two congruent figures are similar - True
• Two polygons are similar if their corresponding sides are proportional - False

 

 



Coordinate Geometry

Question

Find the distance between the points (0,0) and (36,15).

Solution

Square root of [(36-0)^2 + (15-0) ^ 2] = Square root of 1529 = 39

 

 



CBSE Class 10 Exam Maths Papers

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