Practice Trigonometry Questions – If the sum of the roots of the equation ax*2 + bx + c=0 is equal to the sum of the squares of their reciprocals then a/c, b/a, c/b are in
Practice Trigonometry Questions – Two identical circles intersect so that their centres, and the points at which they intersect, form a square of side 1cm. The area in sq. cm of the portion that is common to the two circles is :
Practice Trigonometry Questions – How many differently shaped triangles exist in which no two sides are of the same length, each side is of integral unit length and the perimeter of the triangle is less than 14 units?
Practice Trigonometry Questions – Each side of a given polygon is parallel to either the X or the Y axis. A corner of such a polygon is said to be convex if the internal angle is 90° or concave if the internal angle is 270°.p>If the number of convex corners in such a polygon is 25, the number of concave corners must be
Practice Trigonometry Questions – A square is drawn inside a right-angled triangle with the two perpendicular sides as 12 cm and 8 cm. what is the side of the largest possible square that can be drawn?
Practice Trigonometry Questions – A piece of paper is in the shape of a right angled triangle and is cut along a line that is parallel to the hypotenuse, leaving a smaller triangle. There was a 35% reduction in the length of the hypotenuse of the triangle. If the area of the original triangle was 34 square inches before the cut, what is the area (in square inches) of the smaller triangle?
Practice Trigonometry Questions – A father and his son are waiting at a bus stop in the evening. There is a lamp post behind them. The lamp post, the father and his son stand on the same straight line. The father observes that the shadows of his head and his son’s head are incident at the same point on the ground. If the heights of the lamp post, the father and his son are 6 metres, 1.8 metres and 0.9 metres respectively, and the father is standing 2.1 metres away from the post, then how far (in metres) is the son standing from his father?
Practice Trigonometry Questions – A farmer has decided to build a wire fence along one straight side of his property. For this, he planned to place several fence posts at 6 m intervals, with posts fixed at both ends of the side. After he bought the posts and wire, he found that the number of posts he had bought was 5 less than required. However, he discovered that the number of posts he had bought would be just sufficient if he spaced them 8 m apart. What is the length of the side of his property and how many posts did he buy?
Practice Trigonometry Questions – A certain city has a circular wall around it, and this wall has four gates pointing north, south, east and west. A house stands outside the city, 3 km north of the north gate, and it can just be seen from a point 9 km east of the south gate. What is the diameter of the wall that surrounds the city?
Practice Time and Work – A person covered 2/5th part of his journey via aeroplane, 1/3rd of his journey via train, 70% of the rest journey via cab and the rest which is 10 km on foot. If the speed of the train is 75 kmph, what is the time he spent in the train?
Practice Time and Distance – Abhinandan starts in a car from Amritsar towards Bangalore. After some time he realises that he will cover only 80% of the distance in the scheduled time and he therefore hastened at thrice his speed and thus managed to reach Bangalore exactly on time. Find the time after which Abhinandan changed his speed, given that he could have been late by 4 hours if he had not made the changes.