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English Medium Class 10 - CBSE Question Bank Solutions

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Find the sum of all integers between 84 and 719, which are multiples of 5.

[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

Find the sum of all integers between 50 and 500, which are divisible by 7.

[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

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Find the values of k for which the roots are real and equal in each of the following equation:

kx2 + 4x + 1 = 0

[4] Quadratic Equations
Chapter: [4] Quadratic Equations
Concept: undefined >> undefined

Find the values of k for which the roots are real and equal in each of the following equation:

`kx^2-2sqrt5x+4=0`

[4] Quadratic Equations
Chapter: [4] Quadratic Equations
Concept: undefined >> undefined

Find the value of k for which the roots are real and equal in the following equation:

3x2 − 5x + 2k = 0

[4] Quadratic Equations
Chapter: [4] Quadratic Equations
Concept: undefined >> undefined

Find the sum of all even integers between 101 and 999.

[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

Find the sum of all integers between 100 and 550, which are divisible by 9.

[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

In an A.P., if the first term is 22, the common difference is −4 and the sum to n terms is 64,  find n.

[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

Find the values of k for which the roots are real and equal in each of the following equation:

4x2 + kx + 9 = 0

[4] Quadratic Equations
Chapter: [4] Quadratic Equations
Concept: undefined >> undefined

Find the values of k for which the roots are real and equal in each of the following equation:

2kx2 - 40x + 25 = 0

[4] Quadratic Equations
Chapter: [4] Quadratic Equations
Concept: undefined >> undefined

Find the values of k for which the roots are real and equal in each of the following equation:

9x2 - 24x + k = 0

[4] Quadratic Equations
Chapter: [4] Quadratic Equations
Concept: undefined >> undefined

In an A.P., if the 5th and 12th terms are 30 and 65 respectively, what is the sum of first 20 terms?

[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

Find the values of k for which the roots are real and equal in each of the following equation:

4x2 - 3kx + 1 = 0

[4] Quadratic Equations
Chapter: [4] Quadratic Equations
Concept: undefined >> undefined

Find the values of k for which the roots are real and equal in each of the following equation:

x2 - 2(5 + 2k)x + 3(7 + 10k) = 0

[4] Quadratic Equations
Chapter: [4] Quadratic Equations
Concept: undefined >> undefined

Find the sum of the first 11 terms of the A.P : 2, 6, 10, 14, ...

[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

Find the values of k for which the roots are real and equal in each of the following equation:

(3k+1)x2 + 2(k + 1)x + k = 0

[4] Quadratic Equations
Chapter: [4] Quadratic Equations
Concept: undefined >> undefined

Find the sum of the first 13 terms of the A.P: -6, 0, 6, 12,....

[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

Find the sum of the first 51 terms of the A.P: whose second term is 2 and the fourth term is 8.

[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

Find the sum of the first 40 positive integers divisible by 3

[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

Find the values of k for which the roots are real and equal in each of the following equation:

kx2 + kx + 1 = -4x2 - x

[4] Quadratic Equations
Chapter: [4] Quadratic Equations
Concept: undefined >> undefined
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