A CAT Geometry question from the topic - CAT Trigoneometry that appears in the Quantitative Aptitude section of the CAT Exam broadly tests an aspirant on the concepts - Basic Trigonometric Functions, Heights and Distances, Sine rule, Cosine rule etc . In CAT Exam, one can generally expect to get approx. 1 question from CAT Trigonmetry. Make use of 2IIMs Free CAT Questions, provided with detailed solutions and Video explanations to obtain a wonderful CAT score. If you would like to take these questions as a Quiz, head on here to take these questions in a test format, absolutely free.
3sinx + 4cosx + r is always greater than or equal to 0. What is the smallest value ‘r’ can to take?
Sin^{2014}x + Cos^{2014}x = 1, x in the range of [-5π, 5π], how many values can x take?
Consider a regular hexagon ABCDEF. There are towers placed at B and D. The angle of elevation from A to the tower at B is 30 degrees, and to the top of the tower at D is 45 degrees. What is the ratio of the heights of towers at B and D?
Find the maximum and minimum value of 8 cos A + 15 sin A + 15
If cos A + cos^{2} A = 1 and a sin^{12} A + b sin^{10} A + c sin^{10} A + d sin^{6} A - 1 = 0. Find the value of a+b/c+d
In the below figure, the sheet of width W is folded along PQ such that R overlaps S Length of PQ can be written as :-
Find the value of :- (log sin 1° + log sin 2° ………..+ log sin 89°) + (log tan 1° + log tan 2° + ……… + log tan 89°) - (log cos 1° + log cos 2° + ……… + log cos 89°)
Ram and Shyam are 10 km apart. They both see a hot air balloon passing in the sky making an angle of 60° and 30° respectively. What is the height at which the balloon could be flying?
A man standing on top of a tower sees a car coming towards the tower. If it takes 20 minutes for the angle of depression to change from 30° to 60°, what is the time remaining for the car to reach the tower?
A right angled triangle has a height ‘p’, base ‘b’ and hypotenuse ‘h’. Which of the following value can h2 not take, given that p and b are positive integers?
If tanϕ + sinϕ = m, tanϕ − sinϕ = n, Find the value of m^{2} - n^{2}
A student is standing with a banner at the top of a 100 m high college building. From a point on the ground, the angle of elevation of the top of the student is 60° and from the same point, the angle of elevation of the top of the tower is 45°. Find the height of the student.
If Cos x – Sin x = √2 Sin x, find the value of Cos x + Sin x:
If \\frac {2Sinx}{1+cosx+Sinx}\\)=t, \\frac{1–Cosx+Sinx}{1+Sinx}\\) can be written as:
A tall tree AB and a building CD are standing opposite to each other. A portion of the tree breaks off and falls on top of the building making an angle of 30°. After a while it falls again to the ground in front of the building, 4 m away from foot of the tree, making an angle of 45°. The height of the building is 6 m. Find the total height of the tree in meters before it broke.
A flag is hoisted on top of a building of height 7√3 m. A man of height √3 m, standing on the ground, sees the top and bottom of the flag pole at 2 different angles of elevation that are found to be complementary. If the man is standing √135 m away from the building, find the height of the flag pole.
IPMAT Rohtak Sample Paper Mock
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Please note that the explanation button will take you to the IPMAT solution page.
sin\\frac{13π}{6}\\) = ?
The number of pairs (x, y) satisfying the equation sinx + siny = sin(x + y) and |x| + |y| = 1 is
Given that cos x + cos y = 1, the range of sin x - sin y is
If \\sin \theta + \cos \theta = m,\\) then \\sin ^{6} \theta + \cos ^{6} \theta\\) equals
The Questions that follow, are from actual CAT papers. If you wish to take them separately or plan to solve actual CAT papers at a later point in time, It would be a good idea to stop here.
The number of the real roots of the equation 2cos(x(x + 1)) = 2^{x} + 2^{-x} is
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