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Q)  In an AP, the sum of the first n terms is given by Sn = 6n – n2. Find its 30th term. Ans: VIDEO SOLUTION STEP BY STEP SOLUTION Step 1: We know that, the formula for the sum of the first n terms of an arithmetic progression (AP) is given by: Sn  = […]
In an AP, the sum of the first n terms is given by Sn = 6n – n2. Find its 30th term. Read More »
Q) The angle of elevation of the top of a vertical tower from a point P on the ground is 60°. From another point Q, 10 m vertically above the first point P, its angle of elevation is 30°. Find: (a) The height of the tower. (b) The distance of the point P from the
Q)Â Mr. Vinod is a pilot in Air India. During the Covid-19 pandemic, many Indian passengers were stuck at Dubai Airport. The government of India sent special aircraft to take them. Mr. Vinod was leading this operation. He is flying from Dubai to New Delhi with these passengers. His airplane is approaching point A along
Q) Shanta runs an industry in a shed which was in the shape of a cuboid surmounted by half cylinder. The dimensions of the base were 15 m x 7m x 8 m. The diameter of the half cylinder was 7 m and length was 15 m. (i) Find the volume of the air that
Shanta runs an industry in a shed which was in the shape of a cuboid surmounted by half Read More »
Q) A hot air balloon is rising vertically from a point A on the ground which is at distance of 100m from a car parked at a point P on the ground. Amar, who is riding the balloon, observes that it took him 15 seconds to reach a point B which he estimated to be
Q) Using Cartesian Coordinates we mark a point on a graph by how far along and how far up it is. The left-right (horizontal) direction is commonly called X-axis. The up-down (vertical) direction is commonly called Y-axis. In Green Park, New Delhi Suresh is having a rectangular plot ABCD as shown in the following figure.
Using Cartesian Coordinates we mark a point on a graph by how far along Read More »
Q) Deepa has to buy a scooty. She can buy scooty either making cashdown payment of ₹ 25,000 or by making 15 monthly instalments as below. Ist month – ₹ 3425, IInd month – ₹ 3225, IIIrd month – ₹ 3025, IVth month – ₹ 2825 and so on i. Find the amount of 6th
Q) A boy is standing on the top of light house. He observed that boat P and boat Q are approaching the light house from opposite directions. He finds that angle of depression of boat P is 45° and angle of depression of boat Q is 30°. He also knows that height of the light house
A boy is standing on the top of light house. He observed that boat P and boat Q Read More »
Q) Alia and Shagun are friends living on the same street in Patel Nagar. Shagun’s house is at the intersection of one street with another street on which there is a library. They both study inthe same school and that is not far from Shagun’s house. Suppose the school is situated atthe point O, i.e.,
Q) Using graphical method, find whether following system of linear equations x = 0 and y = – 7 is consistent or not. Ans:Â VIDEO SOLUTION STEP BY STEP SOLUTION Step 1: Construction: On a graph paper, plot or draw x = 0 next, draw y = – 7 Step 2: Intersection point: check if