Question
If a coin is tossed 10 times then what is the
probability of getting three heads?Solution
Total sample spaces = 2¹⁰ Total favourable events N(P) = ¹⁰C₃ Probability (E) = (N(P))/(N(S)) = (¹⁰C₃ )/(2¹⁰) = (¹⁰C₃ )/(2⁵. 2⁵) = ((10 × 12 )/(3 × 2))/(32 × 32) = (10 × 12)/(32 × 32) = 15/128
The perimeters of 2 similar triangles ∆ABC and ∆PQR are 18 cm and 12 cm respectively. If PQ= 8 cm, then AB is?
∆ABC and ∆DEF are similar and their areas are respectively 16 cm2 and 64 cm 2 . If EF = 6 cm BC is?
In the given figure CD is parallel to AB then ∠y is?

The lengths of three medians in a triangles are 24 cm, 32 cm, 40 cm. What is the area of that traingle (in cm 2 )?
- Length of a chord in a circle of radius 'r' cm, is 14 cm and distance between chord and centre of the circle is 24 cm. Find the value of (4r - 60).
The radius of a circle is 13 cm, and the length of the chord is 10 cm. Find the distance between the chord and the centre of the circle.
The area of an equilateral triangle is 4√3 sq m. Its perimeter is
If median AD of an equilateral ∆ABC is 6 cm and G is centroid. Find AG?
What will be inradius of an equilateral triangle of side 4 cm?
The length of the each side of an equilateral triangle is 42√3. The area of incircle, (cm 2 ) is