# Category Archives: School Learning

Question 1: Find the value of the polynomial (x) = 5x − 4x2 + 3   (i) x = 0 (ii) x = –1 (iii)… Read More
Question 1. Write each of the following statements in the form “if p, then q.” (i) You can access the website only if you pay… Read More
Question 1. Write the negation of the following statement: (i) Bangalore is the capital of Karnataka. (ii) It rained on July 4, 2005. (iii) Ravish… Read More
Question 1. Find the component statements of the following compound statements: (i) The sky is blue, and the grass is green. (ii) The earth is… Read More
Chapter 14 Compound Interest – Exercise 14.3 | Set 1 Question 15. Find the rate percent per annum, if Rs. 2000 amount to Rs. 2315.25… Read More
Question 1. On what sum will the compound interest at 5% per annum for 2 years compounded annually be ₹164. Solution: We have, Rate =… Read More
Problem 1: Find the distance between the following pairs of points: (i) (2, 3, 5) and (4, 3, 1) Solution: Let P be (2, 3,… Read More
Problem 1: Find the coordinates of the point which divides the line segment joining the points (– 2, 3, 5) and (1, – 4, 6)… Read More
Question 1: Classify the following numbers as rational or irrational: (i) 2 –√5  (ii) (3 +√23)- √23 (iii) 2√7 / 7√7 (iv) 1/√2 (v) 2π… Read More
Question 1. Find the surface area of a sphere of radius: (i) 10.5cm (ii) 5.6cm (iii) 14cm (Assume π=22/7) Solution: We know that, Surface area… Read More
Question1: The number of telephone calls received at an exchange per interval for 250 successive one-minute intervals are given in the following frequency table: Number… Read More
Question 1. Write the negation of each of the following statements: (i) For every x ∈ N, x + 3 > 10 (ii) There exists… Read More
Question 14. 27x2 – 10x + 1 = 0 Solution: Comparing the equation with, ax2+bx+c=0 we get ,a=27,b=-10,c=1 Using Discriminant Method, D= (b2-4ac) D= (… Read More
Solve the following Quadratic Equations: Question 1. x2 + 1 = 0 Solution: We can write the given equation as, x2 – i2 =0, where… Read More
Question 1: Show that the statement p: ‘If x is a real number such that x3 + 4x = 0, then x is 0’ is… Read More