HARD
10th CBSE
IMPORTANT
Earn 100

The main span of the Howrah bridge in Kolkata, West Bengal is about 194 m long. The height of the towers is 26.2 m. The supporting cable for the main span of the bridge touches the road deck at the centre of the span. The parabola shown in the graph models the supporting cable of the main span of the Howrah Bridge and the green line segment represents the towers. Write down the values of m, n, p.

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Important Questions on Quadratic Equations

MEDIUM
10th CBSE
IMPORTANT

A tour bus in jaipur serves 400 customers in a day. The charge is 50 per person. The owner of bus service estimates that the company would lose 10 passengers a day for each 5 fare increase.

How much should the fare be in order to maximise the income for the company and find the maximum income for the company.

HARD
10th CBSE
IMPORTANT

The diagram shows the graph of the function y=Ax2+Bx+C.

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Complete the table below to show whether each expression is positive, negative or zero.

 Expression  positive  negative  zero ACB2-4ACB

HARD
10th CBSE
IMPORTANT

Consider a person throwing a basketball 10 m above the ground. The basketball will reach its peak height and fall back to the ground. At time t, the height h from the ground is given by h=-2t2+8t+10. Calculate the time taken by the basketball to reach the ground.

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MEDIUM
10th CBSE
IMPORTANT
A hotel famous for barfi makes barfi in the shape of a right angle triangle. Rahul who is fond of eating barfis goes to the hotel and orders10 barfi for himself and his friends. When the barfi were served, they found that the Perimeter of each barfi was 60 cm, while the hypotenuse was 25 cm. With this information, they all calculated the area of the barfi and each had different answers. The correct area of the barfi is ?
HARD
10th CBSE
IMPORTANT

When buying Embibe T-shirts, Raju determines that the total cost of buying X T-shirts is given by the function,

FX=0.04X2-36X+9000

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If he wants to minimize the total cost of buying the T-shirts, how many shirts should he buy?

HARD
10th CBSE
IMPORTANT

What is the maximum possible area for the rectangle shown?

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HARD
10th CBSE
IMPORTANT

There is a square field whose side is 44 m. A square flower bed is prepared in its centre leaving a gravel path all around the flower bed. The total cost of laying the flower bed and gravelling the path at 2.75 and 1.50 per square metre, respectively, is 4904. Find the width of the gravel path in m.

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HARD
10th CBSE
IMPORTANT

Alia and Ranbir went to Varanasi during their holidays. Alia wanted to visit all the ghats of Varanasi. So, they hired a motor boat for this purpose. While riding, Ranbir observed that the speed of motor boat was 20 km/h. He was curious to know the speed of river Ganga. So, he noted the time taken by the boat to travel upstream and downstream in the river. He noticed that the boat took 1 hour more to travel upstream than downstream to cover a distance of 15 km. Find the speed of the river Ganga in km/h.