Podcast Beta
Questions and Answers
What should the remainder be for (x - a) to be a factor of the polynomial?
What is the qualifying sum of money for Radha's recurring deposit of ₹400 per month for 18 months?
What is the area of the shaded portion QPBC if the area of ∆APQ is 18 cm²?
What is the value of x in the given scenario?
Signup and view all the answers
What is the length of PR in the given measurement?
Signup and view all the answers
Which of the following statements about the volume and surface area of a sphere and two hemispheres is valid?
Signup and view all the answers
What is the mean of the squares of the first seven natural numbers, given their sum is 140?
Signup and view all the answers
What is the probability of drawing a black marble from a bag containing 3 red and 2 blue marbles?
Signup and view all the answers
Study Notes
Polynomial Factors
- A polynomial in 'x' will have (𝑥 − 𝑎) as a factor if the remainder is 0 when divided by (𝑥 − 𝑎).
Recurring Deposits
- The qualifying sum of money for interest calculation in a recurring deposit is the total amount deposited, calculated as monthly deposit multiplied by the number of months.
Area of a Circle
- In a circle, a diameter divides the circle into two semicircles.
Tangent and Radius
- The tangent to a circle is perpendicular to the radius at the point of contact.
Trigonometry and Right Angled Triangles
- In a right-angled triangle, the trigonometric ratios can be used to find the lengths of sides.
Surface Area and Volume of Spheres
- Cutting a sphere into two hemispheres does not change the total volume.
- The total surface area of two hemispheres is greater than the surface area of the original sphere.
Mean
- The mean of a set of numbers is the sum of the numbers divided by the number of numbers.
- The sum of the squares of the first seven natural numbers can be used to find their mean.
Probability
- The probability of an event is the number of favorable outcomes divided by the total number of possible outcomes.
- If there are no black marbles in the bag, the probability of drawing a black marble is 0.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Related Documents
Description
This quiz covers key concepts in mathematics including polynomial factors, area of a circle, and properties of trigonometric ratios. Dive into topics such as recurring deposits, surface area and volume of spheres, and calculating means. Perfect for reinforcing essential mathematical knowledge.
