Class 11 Maths

What is the formula to calculate the area of a rectangular field?

• Area = length x width

• Area = length + width

• Area = length / width

• Area = length - width

Calculate the angle at which a ladder is inclined to the ground if sin(angle) = 0.5

• Angle = π/6 or 30 degrees

• Angle = π/3 or 60 degrees

• Angle = π/4 or 45 degrees

• Angle = 2π/3 or 120 degrees

If the probability of a student passing an exam is 0.3, what is the probability of the student failing the exam?

• 0.5

• 0.2

• 0.4

• 0.7

What is the distance between two cities A and B if city A is located at coordinates (3, 4) and city B is located at coordinates (7, 1)?

• 2 miles

• 3 miles

• 5 miles

• 7 miles

What is the definition of a limit in calculus?

• The value that a marathon runner approaches as they get closer to the finish line.

• The point where a race car starts on the track.

• The average speed of a car during a road trip.

• The highest speed a roller coaster reaches during a ride.

Find the rate of change of revenue with respect to time for a company selling products given by the function R(t) = 3t^2 + 2t - 5.

• 6t + 2

• 6t - 5

• 3t^2 + 2

• 6t - 2

How many solutions can a quadratic equation have?

• 4

• 1

• 3

• 5

Calculate the height of a tree using trigonometric ratios if the angle of elevation is 60 degrees and the shadow cast by the tree is 1.5 times its height.

• 0.5 times the height of the tree

• The height of the tree

• The square root of 3 times the height of the tree divided by 2

• Half the height of the tree

If two students are selected randomly from a class, what is the probability that both students are wearing red shirts?

• P(Student 1 wearing red shirt) - P(Student 2 wearing red shirt)

• P(Student 1 wearing red shirt) * P(Student 2 wearing red shirt)

• P(Student 1 wearing red shirt) + P(Student 2 wearing red shirt)

• P(Student 1 wearing red shirt) / P(Student 2 wearing red shirt)

In which quadrant does the point representing the location of a ship lie if its coordinates are (2, -3)?

• Quadrant IV

• Quadrant III

• Quadrant II

• Quadrant I