Β Tangents and Secants to a Circle

Tangents and Secants to a Circle The common point of the tangent and the circle is called the point of contact and the tangent is said to touch the circle at the common point. EXERCISE-9.I 𝑃𝑄2 + 𝑂𝑃2 = 𝑂𝑄2 𝑃𝑄2 + 52 = 132 𝑃𝑄2 + 25 = 169 𝑃𝑄2 = 169 βˆ’ 25 … Read more

5.QUADRATIC EQUATIONS

QUADRATIC EQUATIONS Key Points Nature of roots:The nature of roots of a quadratic equation π‘Žπ‘₯2 + 𝑏π‘₯ + 𝑐 = 0 depends on 𝑏2 βˆ’ 4π‘Žπ‘ iscalled the discriminant(i) 𝐼𝑓 π’ƒπŸ βˆ’ πŸ’π’‚π’„ > 𝟎 π‘‘β„Žπ‘’π‘› π‘‘β„Žπ‘’ π‘Ÿπ‘œπ‘œπ‘‘π‘  π‘Žπ‘Ÿπ‘’ π‘Ÿπ‘’π‘Žπ‘™ π‘Žπ‘›π‘‘ 𝑑𝑖𝑠𝑑𝑖𝑛𝑐𝑑(ii) 𝐼𝑓 π’ƒπŸ βˆ’ πŸ’π’‚π’„ = 𝟎 π‘‘β„Žπ‘’π‘› π‘‘β„Žπ‘’ π‘Ÿπ‘œπ‘œπ‘‘π‘  π‘Žπ‘Ÿπ‘’ π‘Ÿπ‘’π‘Žπ‘™ π‘Žπ‘›π‘‘ π‘’π‘žπ‘’π‘Žπ‘™(iii) … Read more

1.Real Numbers

Real numbers are a set of numbers that includes all rational and irrational numbers. In other words, real numbers are the numbers you typically encounter in everyday life, and they can be located on the number line. Real numbers are defined as the set of all possible values that can be represented as decimals, both … Read more