Let the distance be x km. Speed upstream = 6 – 3 = 3 km/hr Speed downstream = 6 + 3 = 9 km/hr ⇒ x/3 + x/9 = 1 ⇒ (6x + 2x)/18 = 1 ⇒ 8x = 18 ⇒ x = 18/8 = 2.25 km
Line AB is 24 m in length and is tangent to the inner one of the two concentric circles at point C. Points A and B lie on the circumfere...
In the given figure, O is centre of the circle. Circle has 3 tangents. If ∠ QPR = 45 0 , then what is the value (in degrees) of ∠ QOR ?
The cost of diamond varies directly as the square of its weight. A diamond broke into four pieces with weights in the ratio 1: 4: 5: 6. if the loss in t...
The length of a tangent from a point A at a distance 5 cms. from the centre of the circle is 4 cms. Radius of the circle is
Find the ratio between the area of the in-circle and the circum-circle of a square?
In the given figure, ABC is a right angled triangle. ∠ ABC = 90 0and ∠ ACB = 60 0. If the radius of the smaller circle is 2 cm...
In ∆ABC, AB = 5cm, BC = 6cm and AC = 10cm then find out the value of cos A?
The sides of a triangle are 24 cm, 26 cm and 10 cm. At each of its vertices, circles of radius 4.2 cm are drawn. What is the area (in cm²) of the t...
In Fig. if QT ⊥ PR, ∠ TQR = 40 ° and ∠ SPR = 30 ° , find x and y.
