Understanding ISC Mathematics Class 11 Volume 1>Chapter 6 - Quadratic Equations>EXERCISE 6.4>Q 12

EASY

11th ICSE

IMPORTANT

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if $α, β$ are the roots of $a x^{2} + b x + c = 0$ then find the equation with roots $2 α, 2 β$

Important Questions on Quadratic Equations

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 6 - Quadratic Equations>EXERCISE 6.4>Q 12

if

α, β

are the roots of

a x^{2} + b x + c = 0

then find the equation with roots

\frac{α}{2}, \frac{β}{2}

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 6 - Quadratic Equations>EXERCISE 6.4>Q 12

if

α, β

are the roots of

a x^{2} + b x + c = 0

then find the equation with roots

\frac{α}{β}, \frac{β}{α}

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 6 - Quadratic Equations>EXERCISE 6.4>Q 12

if

α, β

are the roots of

a x^{2} + b x + c = 0

then find the equation with roots

(α + β)^{2}, (α - β)^{2}

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 6 - Quadratic Equations>EXERCISE 6.4>Q 12

if

α, β

are the roots of

a x^{2} + b x + c = 0

then find the equation with roots

α + \frac{1}{β}, β + \frac{1}{α}

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 6 - Quadratic Equations>EXERCISE 6.4>Q 12

if

α, β

are the roots of

a x^{2} + b x + c = 0

then find the equation with roots

α + k, β + k

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 6 - Quadratic Equations>EXERCISE 6.4>Q 13

if

α, β

are the roots of

2 x^{2} - 3 x + 1 = 0

then find the equation with roots

\frac{α}{2 β + 3}, \frac{β}{2 α + 3}

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 6 - Quadratic Equations>EXERCISE 6.4>Q 14

if

α, β

are the roots of

3 x^{2} + 2 x + 1 = 0

then form an equation with roots

\frac{1 - α}{1 + α}

and

\frac{1 - β}{1 + β}

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 6 - Quadratic Equations>EXERCISE 6.4>Q 15

if

α, β

are the roots of

2 x^{2} - x + 3 = 0

then find the equation with roots

α - 2, β - 2