Question
A circle is inscribed in a square of side 28 cm. The
area of the remaining portion of the square which is not enclosed by the circle is.Solution
Radius of the circle = 28/2 ⇒ 14 cm Required area of remaining portion = Area of square - Area of circle = (Side)² - πr² ⇒ (28)² - 22/7 × 14 × 14 ⇒ 784 - 616 ⇒ 168
A, B and C are three points on a circle such that the angles subtended by the chord AB and AC at the centre O are 110° and 130°, respectively. Then th...
If (x –1.3)3+(x–1.4)3+(x–1.5)3 = 3(x–1.3)(x–1.4)(x–1.5), Then x = ?
In Δ ABC, ∠ B= 68° and ∠ C 32°. Sides AB and AC are produced to points D and E, respectively. The bisectors of ∠ DBC and ∠...
If ab + bc + ca = 0
Find the value of 1/(a2 - bc) + 1/(b2 - ca) + 1/(c2 - ab)
If x = 19, then the value of x5 - 20x4 + 20x3 - 20x2 + 20x - 1 is
If (a + b) = 7 and ab = 9, then find the value of (a2 + b2).

A shopkeeper marked his article 25% above its cost price and offered a discount of 30%. If cost price of the article is Rs. 560, then find profit or los...
(3x × 9(x+1)) / 27(2x–1) = 1, then find 'x'.
If (6x + y) = 180 and 5x:2y = 25:12, then find the value of (2x² + 5y²).