NCERT Class 10th solution of Exercise 3.2 NCERT Class 10th solution of Exercise 3.3 NCERT Class 10th solution of Exercise 3.4 NCERT Class 10th solution of Exercise 3.5 NCERT Class 10th solution of Exercise 3.6 NCERT Class 10th Maths Projects Exercise 3.1 Q1. Aftab tells her daughter,'' Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be''(Is not this interesting?) Represent this situation algebraically and graphically. Sol. : Let the present age of Aftab `=x` years, the present age of his daughter `=y` years, According to question `(x-7)=7(y-7)` `x-7=7y-49` `x-7y+42=0` and after `3` years  `(x+3)=3(y+3)` `x+3=3y+9` `x-3y-6=0` For graphical representation, `x-7y+42=0` `x=7y-42` when `x=0` `0=7y-42` `7y=42` `y=6` When `x=7` `7=7y-42` `7y=42+7` `7y=49` `y=7` X 0 7 y 6 7 and `x-3y-6=0` when `x=0` `0-3x-6=0` `3x=-6` `x=-2` When `x=6`...

NCERT Class 10th solution of Exercise 2.2 NCERT Class 10th solution of Exercise 2.1 NCERT Class 10th solution of Exercise 3.1 NCERT Class 10th Maths Projects Exercise 2.3 Q1. Divide the polynomial `p(x)` by the polynomial `g(x)` and find the quotient and remainder in each of the following : i) `p(x)=x^3-3x^2+5x-3, g(x)=x^2-2` ii) `p(x)=x^4-3x^2+4x+5, g(x)=x^2+1-x` iii) `p(x)=x^4-5x+6, g(x)=2-x^2` Q2. Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial : i) `t^2-3, 2t^4+3t^3-2t^2-9t-12` ii) `x^2+3x+1, 3x^4+5x^3-7x^2+2x+2` iii) `x^3-3x+1, x^5-4x^3+x^2+3x+1` Q3. Obtain all other zeroes of `3x^4+6x^3-2x^2-10x-5`, if two of its zeroes are `sqrt(5/3)` and              `-sqrt(5/3)`. Sol.   `sqrt(5/3)` and `-sqrt(5/3)` are two zeroes of the given polynomial. So,  `=(x + sqrt(5/3))(x - sqrt(5/3))` `=(x^2 - 5/3)` `=(3x^2 - 5)` Q4. On dividing `x^3-3x^2+x+2` by a polynomi...

NCERT Class 10th solution of Exercise 2.1 NCERT Class 10th solution of Exercise 2.3 NCERT Class 10th Maths Projects Exercise 2.2 Q1. Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. i) `x^2-2x-8`  ii) `4s^2-4s+1`  iii) `6x^2-3-7x` iv) `4u^2+8u`  v) `t^2-15`   vi) `3x^2-x-4` Sol. : i) Given quadratic equation `x^2-2x-8` compare with `ax^2+bx+c=0` where `a=1, b=-2` and `c=-8`  Let `x^2-2x-8=0` `x^2-4x+2x-8=0` `x(x-4)+2(x-4)=0` `(x-4)(x+2)=0` `x-4=0` `x=4` `x+2=0` `x=-2` Now, the sum of the zeroes`= -b/a` `alpha+beta=-((-2))/1` `4-2=-((-2))/1`      `2=2` and the product of the zeroes `=c/a` `alpha times beta = -8/1` `4 times (-2) = -8` `-8 = -8` Answer : The required zeroes `4` or `-2` and the relation of zeroes & coefficient are verified. ii) Given quadratic equation `4s^2-4s+1` compare with `ax^2+bx+c=0` where `a=4, b=-4` and `c=-1`  Let `4s^2-4s+1=0` `4s^2-2s-...