# Uncategorized

## Prove that each angle of rectangle measures 90 degree

We know that a rectangle is basically a parallelogram with one angle measures 90 degree. Given:Since all rectangle are form of parallelogram, their opposite sides are parallel.AB || CD and AD || CB. Also one of the angle measures 90 degree.∠A = 90 degree To Prove:Each angle of rectangle measures 90 degree.∠A = ∠B = …

## Congruent triangle problems – set 02

In this chapter we will solve questions related to congruent triangles. All the questions are to the standard of grade 09 math. Question 01Given below is the triangle in which TR = TS. Also ∠1 = 2 (∠2) and ∠4 = 2 (∠3). Prove that triangle RBT and SAT are congruent. Solution∠1 = ∠4 (vertically …

## Congruent triangle questions – set 01

Given below are collection of questions related to congruent triangles. All the questions are to the standard of grade 9. Question 01In below figure, AB = AD and EA = AC. Prove that line ED is parallel to BC. SolutionConsider ▵ABC and ▵ABC; AB = AD∠BAC = ∠EAD ( vertically opposite angle)EA = AC By …

## Questions on angle sum property of triangle – grade 09

In this chapter we will solve questions related to angle sum property of triangle. All the questions are to the standard of grade 09. Question 01Given below is the image of triangle PQR in which line QT perpendicular to side PR. Find the measure of angle x and y. SolutionConsider triangle QTR.We know that sum …

## Questions on remainder theorem of polynomial

Given below is the collection of questions related to remainder theorem of polynomial. All the questions are to the standard of grade 09. Question 01Consider the two functions f(x) and g(x); f(x) = g(x) = 1 – 2x Find the remainder when f(x) is divided by g(x). SolutionLet’s first find the root of g(x) 1-2x …

## Remainder theorem of polynomial

In this chapter we will learn to find remainder when one polynomial is divided by another polynomial. What is remainder theorem of polynomial ? Let f(x) and g(x) are two polynomials. Suppose we divide f(x) by g(x). According to the remainder theorem, if we put root of polynomial g(x) on f(x), the final number we …

## Factorization of polynomial – set 01

Given below is collection of questions related to factorization of polynomial. All the questions are provided with detailed solution. The questions are to the standard of grade 09 math. Question 01Find the value of given polynomial for f (2) and f (-3).f(x)= SolutionLet’s first calculate the value of f(2). Putting the value of 2 in …

## Problems on Factorization of algebraic expressions

Problems on factorization – set 01 Problems on factorization – set 02 Problems on factorization – set 03 Next chapter : Factorization of polynomials

## Rationalize the denominator with roots

In this chapter we will learn to simplify fraction whose denominator contain numbers with roots like square root or cube root. By rationalization we mean to simplify the number by removing square root from the denominator. Here we will rationalize two types of numbers;(a) Denominator is monomial(b) Denominator is binomial ( contain 2 elements) Let’s …

## Questions on identification of irrational numbers

In this chapter we will discuss questions related to identification of irrational numbers with detailed solution. Question 01Identify if the below number is irrational or not. Solution Number 13 is not a perfect square, hence it’s an irrational number. 441 is a perfect square. Square root of 441 is 21. Hence, it’s not an irrational …