SSC (English Medium) Class 10th Board ExamMaharashtra State Board
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Important Questions for SSC (English Medium) Class 10th Board Exam - Maharashtra State Board - Algebra

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Algebra
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Solve the following quadratic equation for x: `4x^2 + 4bx – (a^2 – b^2) = 0`

 
Appears in 4 question papers
Chapter: [2] Quadratic Equations
Concept: Solutions of Quadratic Equations by Completing the Square

How many three digit natural numbers are divisible by 5?

Appears in 3 question papers
Chapter: [1] Arithmetic Progression
Concept: Introduction to Sequence

If α + β = 5 and α33 = 35, find the quadratic equation whose roots are α and β.

Appears in 3 question papers
Chapter: [2] Quadratic Equations
Concept: Quadratic Equations

If the quadratic equation px2 − 2√5px + 15 = 0 has two equal roots then find the value of p.

Appears in 3 question papers
Chapter: [2] Quadratic Equations
Concept: Nature of Roots

If 12x +13y =29 and 13x +12y=21, find x + y.

Appears in 3 question papers
Chapter: [3] Linear equations in two variables
Concept: Linear Equations in Two Variables Applications

Write the first two terms of the sequence whose nth term is tn = 3n ‒ 4.

Appears in 2 question papers
Chapter: [1] Arithmetic Progression
Concept: Arithmetic Progression

The 11th term and the 21st term of an A.P. are 16 and 29 respectively, then find:
(a) The first term and common difference
(b) The 34th term
(c) ‘n’ such that tn = 55

Appears in 2 question papers
Chapter: [1] Arithmetic Progression
Concept: Arithmetic Progression

Find the term t15 of an A.P. : 4, 9, 14, …………..

Appears in 2 question papers
Chapter: [1] Arithmetic Progression
Concept: General Term of an Arithmetic Progression

State whether the following sequence is an Arithmetic Progression or not:
3, 6, 12, 24,......

Appears in 2 question papers
Chapter: [1] Arithmetic Progression
Concept: Arithmetic Progression

Find n if the nth term of the following A.P. is 68

5, 8, 11, 14, ..........

Appears in 2 question papers
Chapter: [1] Arithmetic Progression
Concept: Arithmetic Progression

The first term of an A. P. is 5 and the common difference is 4. Complete the following activity and find the sum of the first 12 terms of the A. P.

a = 5, d = 4, s12 = ?
`s_n = n/2 [ square ]`
`s_12 = 12/2 [10 +square]`
         `= 6 × square  `
         ` =square`

Appears in 2 question papers
Chapter: [1] Arithmetic Progression
Concept: Sum of First n Terms of an AP

Write the quadratic equation whose roots are ‒2 and ‒3.

Appears in 2 question papers
Chapter: [2] Quadratic Equations
Concept: Quadratic Equations

Solve the following quadratic equation by using formula method: 5m2 + 5m – 1 = 0

Appears in 2 question papers
Chapter: [2] Quadratic Equations
Concept: Nature of Roots

The divisor and quotient of the number 6123 are same and the remainder is half the divisor. Find the divisor.

Appears in 2 question papers
Chapter: [2] Quadratic Equations
Concept: Quadratic Equations Examples and Solutions

Solve the following quadratic equation by factorization method : `x^2-5x+6=0`

Appears in 2 question papers
Chapter: [2] Quadratic Equations
Concept: Solutions of Quadratic Equations by Factorization

Solve the following quadratic equation by factorization method : `3x^2-29x+40=0`

Appears in 2 question papers
Chapter: [2] Quadratic Equations
Concept: Solutions of Quadratic Equations by Factorization

State whether the given equation is quadratic or not. Give reason.

`5/4m^2 - 7 = 0`

Appears in 2 question papers
Chapter: [2] Quadratic Equations
Concept: Quadratic Equations

If one of the roots of the quadratic equation x2 - 11x  + k = 0 is 9, then find the value of k

Appears in 2 question papers
Chapter: [2] Quadratic Equations
Concept: Quadratic Equations Examples and Solutions

Factorise : m2 + 5m + 6.

Appears in 2 question papers
Chapter: [2] Quadratic Equations
Concept: Solutions of Quadratic Equations by Factorization

Solve the following simultaneous equations: `7/(2X+1)+13/(Y+2)=27,13/(2X+1)+7/(Y+2)=33`

 

 
Appears in 2 question papers
Chapter: [3] Linear equations in two variables
Concept: Equations Reducible to a Pair of Linear Equations in Two Variables
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