Question
The sum of two numbers is 90 whereas the sum of their
reciprocals is (30/11). Find the square of the product of the two numbers.Solution
ATQ,
Let the two numbers be 'x' and 'y'.
So, x + y = 90
And (1/x) + (1/y) = (30/11)
Or, {(x + y)/(xy)} = (30/11)
Or, xy = (11/30) × 90 = 33
So, required square = 33² = 1089
A triangular field has sides 13 m, 14 m, and 15 m. A well with a diameter of 7 m is dug outside the field. If the entire soil dug from the well is used ...
Two concentric circles of radii 10 cm and 6 cm are given. Find the length of the chord of the larger circle which touches the smaller circle.
10 identical solid spherical balls of radius 3 cm are melted to form a single sphere. In this process 20% of solid is wasted. What is the radius (in cm...
In parallelogram ABCD, point E is located on side AB, and line segment DE is drawn perpendicular to AB. Given that AD measures 5 cm, AB is 12 cm, and AE...
Consider two concentric circles having radii 17 cm and 15 cm. What is the length (in cm) of the chord, of the bigger circle, which is a tangent to the s...
In ∆ABC , G is the centroid , AB = 12 cm, BC= 16 cm and AC = 20 cm , find GD, where D is the mid-point of BC?
In the given figure, PQR is a triangle and quadrilateral ABCD is inscribed in it. QD = 2 cm, QC = 5 cm, CR = 3 cm. BR = 4 cm. PB = 6 cm. PA = 5 cm and A...
In a trapezium, the lengths of the parallel sides are 20 cm and 30 cm, and the height is 12 cm. Find the area of the trapezium.
What will be inradius of a right angle triangle whose base is 13 cm & height is 84 cm ?
∆ ABC is similar to ∆ DEF. If area of ∆ABC is 9 sq.cm and area of ∆DEF is 16 sq.cm and BC = 2.1 cm. Then the length of EF will be
