Quadratic Equations Class X
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Questions and Answers

What is the value of k in the quadratic equation 3x2 – kx – 2 = 0, if x = 2?

  • 6
  • 5
  • 3
  • 4 (correct)
  • What is the sum of the roots of the quadratic equation 14x2 – 27x + k = 0, if x = 5/2?

  • 7
  • 10 (correct)
  • 5
  • 15
  • What is the value of x in the quadratic equation 2qx2 – (2q – p2)x – p2 = 0, if x = 1?

  • p2 (correct)
  • q
  • -p2
  • 2q
  • What is the value of a in the quadratic equation a(x2 + 1) = x(a2 + 1), if x = 1?

    <p>1</p> Signup and view all the answers

    What is the value of k in the quadratic equation 9x – 9(a + b)x + (2a2 + 5ab + 2b2) = 0, if x = 1?

    <p>2a2 + 5ab + 2b2</p> Signup and view all the answers

    What is the value of x in the quadratic equation x – (p + q)x + p q = 0, if p = 2 and q = 3?

    <p>2</p> Signup and view all the answers

    What is the condition for dividing 41 into two positive parts?

    <p>The difference of their squares is 369</p> Signup and view all the answers

    What is the product of two consecutive odd numbers?

    <p>483</p> Signup and view all the answers

    What is the condition for dividing 16 into two parts?

    <p>Twice the square of the larger part exceeds the square of the smaller part by 164</p> Signup and view all the answers

    What is the result of subtracting the reciprocal of a fraction from it?

    <p>11/30</p> Signup and view all the answers

    What happens when one is added to both numerator and denominator of a fraction?

    <p>The difference between the new and the original fraction is 1/24</p> Signup and view all the answers

    What is the sum of the ages of a son and his father?

    <p>35 years</p> Signup and view all the answers

    If the two trains travel in different directions and are 130 Km apart after 2 hours, what is the difference in their speeds?

    <p>35 Km/h</p> Signup and view all the answers

    What is the speed of the express train?

    <p>48 Km/h</p> Signup and view all the answers

    How many arrows did Arjun have?

    <p>36</p> Signup and view all the answers

    How many books did the shopkeeper buy?

    <p>16</p> Signup and view all the answers

    How many days was the person's tour originally for?

    <p>15 days</p> Signup and view all the answers

    What was the original duration of the flight?

    <p>1.5 hours</p> Signup and view all the answers

    If a piece of cloth costs Rs 6500 and the cost of piece would have remained unchanged if the piece were 5 m longer and each metre of cloth costs Rs 2 less, what is the original length of the piece?

    <p>20 m</p> Signup and view all the answers

    Rs 6,500 were divided equally among a certain number of persons. If there were 15 more persons, each would have got Rs 30 less. What is the original number of persons?

    <p>25</p> Signup and view all the answers

    The sum of first n natural numbers is given by S = n (n + 1) = 351. What is the value of n?

    <p>21</p> Signup and view all the answers

    If the cost of piece would have remained unchanged if the piece were 5 m longer and each metre of cloth costs Rs 2 less, what is the original rate per meter?

    <p>Rs 10</p> Signup and view all the answers

    The sum S of first n natural numbers is given by S = n (n + 1) = 351. What is the value of (n + 1)?

    <p>26</p> Signup and view all the answers

    If the length of the hypotenuse of a right triangle is one unit more than twice the length of the shortest side, what is the relationship between the other side and the shortest side?

    <p>It is one unit less than twice the length of the shortest side</p> Signup and view all the answers

    If the hypotenuse of a right triangle is 3√5 cm, what happens when the smaller side is tripled and the larger side is doubled?

    <p>The new hypotenuse will be 15 cm</p> Signup and view all the answers

    If the hypotenuse of a right triangle is 6m more than twice the shortest side, what is the relationship between the third side and the hypotenuse?

    <p>The third side is 2m less than the hypotenuse</p> Signup and view all the answers

    If the area of a right-angled triangle is 600 sq.cm, what is the difference between the base and the altitude?

    <p>The base exceeds the altitude by 10 cm</p> Signup and view all the answers

    If the length of a rectangle exceeds its width by 8 cm, what is the area of the rectangle?

    <p>The area of the rectangle is 240 sq.cm</p> Signup and view all the answers

    If a rectangular field is 16m long and 10m wide, what is the area of the path around it?

    <p>The area of the path is 120 sq.cm</p> Signup and view all the answers

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