Draw the graph of y = x² + 4x + 3 and hence find the roots of x² + x + 1 = 0

Graph the following quadratic equations and state their nature of solutions x² - 9x + 20 = 0.

Draw the graph of y = x² - 4 and hence solve x² - x - 12 = 0

Draw the graph of y = x² - 4 and hence solve x² + 1 = 0

Draw the graph of y = 2x² - 3x - 5 and hence solve 2x² - 4x - 6 = 0

Draw the graph of y = (x - 1) (x + 3) and hence solve x² - x - 6 = 0

Graph the following quadratic equations and state their nature of solutions.
x² - 4x + 4 = 0

Graph the following quadratic equations and state their nature of solutions.
x² + x + 7 = 0

Graph the following quadratic equations and state their nature of solutions.
x² - 9 = 0

Graph the following quadratic equations and state their nature of solutions.
(2x - 3)(x + 2) = 0

Construct a △PQR which the base PQ = 4.5 cm,∠R = 35^oand the median RG  from R to PG is 6 cm

Construct a \(\triangle\)PQR in which QR = 5 cm, \(\angle\)P = 40^o and the median PG from P to QR is 4.4 cm. Find the length of the altitude from P to QR.

Draw a triangle ABC of base BC = 5.6 cm, \(\angle\)A = 40^o and the bisector of \(\angle\)A meets BC at D such that CD = 4 cm.

Draw a circle of radius 3 cm. Take a point P on this circle and draw a tangent at P.

Draw a circle of diameter 6 cm from a point P, which is 8 cm away from its centre. Draw the two tangents PA and PB to the circle and measure their lengths.

Draw a circle of radius 4.5 cm. Take a point on the circle. Draw the tangent at that point using the alternate segment theorem.

Draw the two tangents from a point which is 5 cm away from the centre of a circle of diameter 6 cm. Also, measure the lengths of the tangents

Draw a tangent to the circle from the point P having radius 3.6 cm, and centre at O. Point P is at a distance 7.2 cm from the centre.