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The distance between the centers of two circles of radius 2 cm and 8cm is 10 cm. Find the length of the direct common tangent.
In the figure given below, PQRS is a parallelogram in which PN and PM are perpendicular to QR and RS, respectively. If RS = 81 cm, PM = 42 cm and PN = 5...
A square is converted into a rectangle by increasing its length by 50 % and decreasing its width by 20%. Which of the following statements is true?
The perimeter of a square and a rectangle is in the ratio of 16:15. The square has an area of 256 cm², and the length of the rectangle is 12.5% greater...
A cube of side 14 cm is immersed completely in a cylindrical vessel of radius 10 cm. What will be the rise in the water level in the vessel due to the i...
In a rectangular floor of length and breadth of 22 metres and 16 metres, respectively, square tiles each of 2 metre edge length are to be laid. If the c...
Three circles each of radius 5 cm touch one another. The area (in cm²) subtended between them.
The sum of the perimeters of a square and a rectangle is 120 metres. If the sum of the length and breadth of the rectangle is 32 cm, then find the area ...
A cone has a radius of 6 cm and a slant height of 10 cm. What is the approximately surface area of the cone?
The circumference of a circle is equal to the perimeter of a rectangle whose length and breadth are in ratio 9:7, respectively. If the area of the recta...
