If the angles of a triangle are in the ratio of 2:3:4, then the difference of the measure of greatest angle and smallest angle is
40°
Let the angles of the triangle be 2x, 3x and 4x => Sum of angles = 2x + 3x + 4x = 180° => 9x = 180° => x =180/9=20° Difference between greatest and smallest angle = 4x − 2x = 2x = 2 × 20 = 40°
In ΔABC, ∠A = 90°, AD ┴ BC and AD = BD = 2 cm. The length of CD is
A and B together can complete a work in 24 days. B alone does 1/3rd part of this work in 12 days. How many days will A alone take to complete the remaining work?
The heights of a cone and a cylinder are equal. The radii of their bases are in the ratio 2:1. The ratio of their volumes is:
In an ornament, the ratio of gold and copper is 3:2. The percentage of gold in the ornament is:
If , \(\sqrt{ 3^{n} } = 2187\) then the value of \( n \) is:
If \(x + \frac{1}{x} = 5\) , then find the value of \(\frac{6x}{ x^{2} + x +1} \)
In a right-angled triangle if the hypotenuse is 20 cm and the ratio of the other two sides is 4:3, the length of the sides are:
The least number which when divides 37044, gives the result a perfect cube, is:
A man spends in 8 months as much as he earns in 6 months. He saves Rs. 6000 in a year. His average monthly income is:
If \( a = \sqrt{2} + 1 \) and \( b = \sqrt{2} - 1 \), then the value of \( \frac{1}{a+1} + \frac{1}{b+1} \) will be:
In ΔABC, ∠A = 90°, AD ┴ BC and AD = BD = 2 cm. The length of CD is
How many lines of symmetry does a rectangle have?
The number of diagonals in each face a cube is
Which of the following is/are the geometric figures with the line of symmetry?
I. Rectangle
II. Isosceles triangle
Euclid’s Postulate III is: