Day 277: CDS Maths
5 questions (8 parts). Try each one first, then open its answer.
Question 1
Heights and Distances. Asked once: CDS 1 2018
59From a height of h units, a man observes the angle of elevation as and angle of depression as of the top and the bottom respectively of a tower of height H (> 4h). To what further height should he climb so that the values of angle of elevation and angle of depression get interchanged for the top and bottom of the tower ?Tap an option to check your answer.
Question 2
Linear Equations. Asked once: CDS 2 2020
33If and , then what is equal to ?Tap an option to check your answer.
Question 3
Logarithms. Asked once: CDS 1 2018
36For , which one of the following is correct?Tap an option to check your answer.
Question 4 (case study, 2 parts)
Mensuration 2D. Asked once: CDS 1 2024
Consider the following for the next two (02) items that follow : Consider a circle of area square unit and an equilateral triangle ABC as shown in the figure given below.94What is the length of the side of the triangle ABC ?Tap an option to check your answer.
95What is the area of the shaded region ?Tap an option to check your answer.
Question 5 (case study, 3 parts)
Mensuration 3D. Asked once: CDS 2 2022
Consider the following for the next three (03) items that follow : A conical vessel of radius 12 cm and height 16 cm is filled with water. A sphere is lowered into water and its size is such that it touches the sides of the vessel and it is just immersed.71What is the radius of the sphere ?Tap an option to check your answer.
72How much water will remain in the vessel after the overflow ?Tap an option to check your answer.
73What is the ratio of lateral surface area of the vessel to the surface area of the sphere ?Tap an option to check your answer.