निम्नलिखित प्रत्येक समीकरण का आलेख बनाइए:
(i) ` x=4 " "(ii) x-6=0" "(iii) x+3 =0" "(iv) y=2" "(v) 2x- 5=0 " "(vi)y+3=0`

Draw the graph for each equation given below: (i) x=4,(ii) x-6=0,(iii) x+3=0,(iv)y=2 ,(v) 2x-5=0, (vi) y+3=0

I. x ^(2) + 5x + 6 = 0 II. y^(2) + 3y +2 = 0

Find the roots of the polynomial equations. (i) 5x-6=0 (ii) x+ 3=0 ( iii) 10 x+ 9=0 ( iv) 9x- 4=0

Express the following linear equations in the form of ax+ by+c=0 and indicate the value of a, b and c in each case. (i) 2x + 3y = 9.3 overline 5 (ii) x - y/5 -10 = 0 (iii) -2x + 3y -6 =0 (iv) x = 3y (v) 2x = -5y (vi) 3x + 2 = 0 (vii) y-2 = 0 (viii) 5 = 2x

I. 5x^(2) + 2x - 3 = 0" "II. 2y^(2) + 7y + 6 = 0

Solve the following quadratic equations by factorisation method : (i) x^(3) - 4x + 3 = 0 (ii) m^(2) - m - 2 = 0 (iii) p^(2) + 9p + 20 =0 (iv) q^(2) + q-12= 0 (v) y^(2) + 2y - 35= 0 (vi) 3x^(2) + 5x= 0 (vii) x^(2) - 7x + 12=0 (viii) x^(2) - 7x - 18 = 0

I 3x^(2) + 4x + 1 = 0" "II. Y^(2) + 5y + 6 = 0

For each of the graphs given in Fig. 4.5 select the equation whose graph it is from the choices given below:(a) For Fig 4.5(i)(i) x + y = 0 (ii) y = 2x (iii) y = x (iv) y = 2x + 1 (b) For fig 4,5(ii)(i) x + y = 0 (ii) y = 2x (iii) y = 2x + 4 (iv) y = x - 4

The equation of the directrix of the parabola x^(2) - 4x - 8y + 12 = 0 is (i) y = 0 (ii) x - 1 = 0 (iii) y+ 1 = 0 (iv) x + 1 = 0

If f(x)= |x - 1| + |x - 3|, then f'(2)= (i)-2 (ii)-1 (iii)0 (iv)2