Maharashtra Board Class 10 Math Part 1 Chapter 2 Practice Set 2.1 Quadratic Equations Solution

Maharashtra Board Class 10 Math Part 1 Solution Chapter 2 Practice Set 2.1 – Quadratic Equations

                                 

Balbharati Maharashtra Board Class 10 Math Part 1 Solution Chapter 2: Quadratic Equations. Marathi or English Medium Students of Class 10 get here Quadratic Equations full Practice set Solution.

Std	Maharashtra Class 10
Subject	Math Part 1 Solution
Chapter     Practice set	Quadratic Equations 2.1

 

Practice Set 2.1

 

(1) Write any two quadratic equations.

(i) x² + 5x+ 4 = 0

(ii) y² + 9xy + 20 = 0

Are too quadratic equations

 

(2) Decide which of the following are quadratic equations.

(1) x² + 5x – 2 = 0

Can be represented as ax² + bx + c = 0 form.

∴ It is a quadratic equation.

 

(2) y² = 5y – 10

Or, y² – 5y + 10 = 0

Can be represented as ax²+ bx + c = 0 form,

∴ It is a quadratic equations

 

(3) y² + 1/y = 2

Or, y² + 1/y  – 2 – 0

Cannot be reported as ax² + bx + c = 0 form

∴ it is not a quadratic equations

 

(4) x + 1/x = -2

Or, x + 1/x + 2 = 0

Can be represented as ax² + bx + c = 0 form

∴ it is quadratic equation.

(5) (m + 2) (m – 5) = 0

Or, m² – 5m + 2m – 10 = 0

Or, m² – 3m – 10 = 0

Can be represented as ax² + bx + c = 0 form

∴ it is a quadratic equation.

 

(6) m³ + 3m² – 2 = 3m³

Or, m³ – 3m³ + 3m² – 2 = 0

Or, -2m³ + 3m² – 2 = 0

Cannot be represented as ax² + b + c = 0 form.

∴ it is not a quadratic equations

 

(3) Write the following equations in the form ax² + bx + c = 0, then write the values of a, b, c for each equation.

(1) 2y = 10 – y²

Or, y² + 2y – 10 = 0 is in the form as ax² + bx + c = 0

(2) (x – 1)² = 2x + 3

Or, x² – 2×x×1 + 1² = 2x + 3

Or, x² – 2x – 2x + 1 – 3 = 0

Or, x² – 4x – 2 = 0, in the form of ax² + bx + c = 0

(3) x² + 5x = – (3 – x)

Or, x² + 5x = – 3 + x

Or, x² + 5x – x + 3 = 0

Or, x² + 4x + 3 = 0 is in the form ax² + bx + c = 0

(4) 3m² = 2m² – 9

Or, 3m² – 2m² + 9 = 0

Or, m² + 9 = 0

Or, m² + 0xm + 9 = 0 is in the form a²x² + bx + c = 0

(5) P (3 + 6p) = – 5

Or, 3P + 6p² + 5 = 0

Or, 6P + 3p + 5 = 0 is in the form ax² + b + c = 0

(6) x² – 9 = 13

Or, x² – 9 – 13 = 0

Or, x² – 22 = 0

Or, x² + 0 x – 22 = 0 is in the form ax² + bx + c = 0

 

(4) Determine whether the values given against each of the quadratic equation are the roots of the equation.

Solution:

(1) x² + 4x – 5 = 0; x = 1, – 1

For x = 1

1² + 4×1 – 5

= 1 + 4 – 5

= 5 – 5

= 0

For x = -1

(-1)² + 4×1 – 5

= 1 – 4 – 5

= -8

≠ 0

∴ x = 1 is a root & x = -1 is not a root

(2) 2m² – 5m = 0, m = 2, 5/2

For m = 2

2×2² – 5×2

= 8 – 10

= – 2

≠ 0

For m = 5/2

2× (5/2)² – 5 × 5/2

= 2 × 25/4 – 25/2

= 0

∴ m = 2 not a root & m = 5/2 is a root.

 

(5) Find k if x = 3 is a root of equation kx² – 10x + 3 = 0.

Solution:

Given, x = 3 is root of equation kx² – 10x + 3 = 0

∴ Putting x = 3 in equation

k × 3² – 10 × 3 + 3 = 0

Or, 9k – 30 + 3 = 0

Or, 9k = 27

Or, K = 27/9 = 3

 

(6) One of the roots of equation 5m² + 2m + k = 0 is -7/5. Completely the following activity to find the value of ‘k’.

Solution:

Given, -7/5 is the root 7 quadratic equation.

Put m = -7/5 in the equation

5 × (-7/5)² + 2 × -7/5 + k = 0

Or, 5 × 49/25 – 14/5 + k = 0

Or, 49-74/5 + k = 0

Or, 35/5 + k = 0

Or, k = -7

 

 

Here is your solution of Maharashtra Board Class 10 Math Part 1 Solution Chapter 2 Practice Set 2.1 – Quadratic Equations

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