What is the simplified value of (1– sin A cos A)(sin A + cos A)?
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A cone of radius 3.5 cm and height 27 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 2.1 cm. What will be the height of water in this vessel? (Take π = 22/7)
If a = 1/a-5, then the value of a + 1/a = ?
What is the value of (cos 40° – cos 140°)/(sin 80° + sin 20°)?
If x = 6+26, then what is the value of x-1 + 1x-1 ?
A merchant marks the price of his articles 30% above the cost price. He gives some discount on it and earns a profit of 13.75%. What is the discount percentage?
What should be the average speed of a car to cover a distance of 189 km in 3.5 hours?
If a--b = 4 and ab = 45, find the value of a3 - b3
(a – b)2 = a2 + b2 -2ab ⇒ 16 = a2 + b2 – 90 ⇒ a2 + b2 = 106 a3 – b3 = (a – b) (a2 + b2 + ab) ⇒ a3 – b3 = 4 X (106 + 45) ⇒ a3 – b3 = 4 X 151 ⇒ a3 – b3 = 604
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