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[mathjax] Exercise 8.1 Question 1 Fill in the blanks in each of the following to make the statement true: (i) Two distinct points in a plane determine __ line . Sol : unique Page 8.13 (ii) A line...
add [mathjax] Exercise 7.1 Type 1 Question 1 Which of the following statements are true and which are false ? Give reasons for your answer : (i) These exists a point through which no line can pass....
[mathjax] Exercise 6.1 Type 1 Question 1 Write the answer of each of the following Questions : (i) What is the name of horizontal and vertical lines drawn to determine the position of any point in...
add [mathjax] Exercise 5.1 Exercise 5 Type 1 Problems based on writing a linear equation in two variables x and y in the form ax-by+c=0 and problems on writing a given statement as a linear equations...
[mathjax] Exercise 4.5 Question 1 a 3 +27b 3 Sol: ⇒(a) 3 +(3b) 3 Using identity: x 3 +y 3 =(x+y)(x 2 -xy+y 2 ) ⇒(a+3b)[a 2 -(a)(3b)+(3b) 2 ] ⇒(a+3b)(a 2 -3ab+9b 2 ) Q2 | Ex-4.5 | Class 9 |Algebraic...
[mathjax] Exercise 4.3 Question 1 Factorize the following : (i) x 2 +14x+45 Sol : On comparing with general formula ax 2 +bx+c we get a=1,b=14,c=45 where k=ac=1×45=45(positive number) and b is also...
add [mathjax] Exercise 4.2 Type 1 Question 1 Factorize the following : (i) x 2 +4x+4 Sol: Using identity: a 2 +b 2 +2ab=(a+b) 2 =(a+b)(a+b) ⇒x 2 +2 2 +2(x)(2) ⇒(x+2) 2 ⇒(x+2)(x+2) (ii) x 2 -18x+81...
add [mathjax] Exercise 4.1 Type 1 Question 1 Using suitable identities, find the following products : (i) (x+3)(x+3) Sol : Here we use identity a=3 , b=3 (x+a)(x+a)=x 2 +(a+b)x+ab ⇒x 2 +(3+3)x+3×3...
[mathjax] Exercise 4.3 Type 6 Question 1 Factorize the following if : (i) (x+1) is a factor of 2x 3 - 3x 2 - 8x - 3 Sol : Step-1⇒2x 3 -3x 2 -8x-3 Step-2⇒2x 3 +2x 2 -5x 2 -5x-3x-3 Step-3⇒2x 2...
[mathjax] Exercise 3.1 Type 1 Problems based on definition of terms related to polynomial and identifying polynomials WORKING RULE: 1. Write down the given polynomial in such a way that the variable...
[mathjax] Exercise 2.1 Type 1 Question 1 Classify the following numbers as rational or irrational, (i) 3+√5 Sol :Irrational (ii) 7√5 Sol :Irrational (iii) $\dfrac{7}{\sqrt{5}}$ Sol :Irrational (iv)...
[mathjax] Exercise 1.2 Type 1 Question 1 Are the square roots of all positive integers irrational ? If not, then give an example of the square root of a positive integer which is a rational number....