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Find the value of a, b, c in the following quadratic equation : 2x^{2} ‒ x ‒ 3 = 0

Concept: Quadratic Equations

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

Concept: Quadratic Equations

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For a sequence if n `S_n=n/(n+1)` then find the value of S_{10}.

Concept: Introduction to Sequence

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Verify whether 1 is the root of the quadratic equation : `x^2+3x-4=0`

Concept: Quadratic Equations

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If one root of the quadratic equation kx^{2} – 7x + 12 = 0 is 3, then find the value of k.

Concept: Quadratic Equations

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If α + β = 5 and α^{3} +β^{3} = 35, find the quadratic equation whose roots are α and β.

Concept: Quadratic Equations

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(x + 5)(x - 2) = 0, find the roots of this quadratic equation

Concept: Quadratic Equations

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The following data shows the number of students using different modes of transport:

Modes of Transport | Number of Students |

Bicycle | 140 |

Bus | 100 |

Walk | 70 |

Train | 40 |

Car | 10 |

From this table, find the central angle (θ) for the Mode of Transport ‘Bus’.

Concept: Tabulation of Data

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Write the following quadratic equation in a standard form: 3x^{2} =10x + 7.

Concept: Quadratic Equations

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Find the values of a, b, c for the quadratic equation 2x_{2} = x + 3 by comparing with standard form ax^{2} + bx + c = 0.

Concept: Quadratic Equations

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Find the first two terms of the sequence for which S_{n} is given below: `S_n=n^2(n+1)`

Concept: Introduction to Sequence

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Find the value of discriminant (Δ) for the quadratic equation: `x^2+7x+6=0`

Concept: Quadratic Equations

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How many three digit natural numbers are divisible by 5?

Concept: Introduction to Sequence

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

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

Concept: Quadratic Equations

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Solve the following quadratic equation by using formula method :

2x^{2} - 3x = 2

Concept: Quadratic Equations

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

Concept: Arithmetic Progression

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Write the first three terms of the A.P. whose common difference is ‒3 and first term is 4.

Concept: Arithmetic Progression

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Solve the following quadratic equation by Factorisation method: x^{2} + 7x + 10 = 0

Concept: Solutions of Quadratic Equations by Factorization

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The 11^{th} term and the 21^{st} term of an A.P. are 16 and 29 respectively, then find:

(a) The first term and common difference

(b) The 34^{th} term

(c) ‘n’ such that t_{n} = 55

Concept: Arithmetic Progression

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State whether the following sequence is an A.P. or not?

1, 4, 7, 10, ………………..

Concept: Arithmetic Progression

Appears in 1 question paper