CBSE Class 10 Mathematics Quadratic Equation Worksheet Set O

CBSE Class 10 Quadratic Equation (8)

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Q01 :} Form the quadratic equation whose roots are:

a)

b)

c)

Q02 :} 300 apples are distributed equally among a certain number of students. Had there been 10 more students, each would have received one apple less. Find the number of students.

Q03 :} Solve for : .

Q04 :} Find the solutions by the method of completion of squares. .

Q05 :} Find the roots by factorization: .

Q06 :} Find the solutions by quadratic equation formula: .

Q07 :} Solve for : .

Q08 :} Solve for : .

Q09 :} The speed of a boat in still water is 11 km/h. It can go 12 km upstream and come back in 2 hours 45 minutes. Find the speed of the stream.

Q10 :} The product of the digits of a 2 digit number is . If is added to the number, the digits interchange their places. Find the number.

Q11 :} Divide into 2 parts so that the sum of their squares is .

Q12 :} The denominator of a fraction is one more than twice the denominator. If the sum of the fraction and its reciprocal is , find the fraction. [Ans.: ]

Q13 :} The hypotenuse of a right triangle is m more than twice the shortest side. If the third side is metre less than the hypotenuse, find the sides of the triangle. [Ans.: 10m, 24m, 26m]

Q14 :} The hypotenuse of a right triangle is cm. If the smaller side is tripled and the larger side is doubles, the new hypotenuse will be cm. Find the length of each side. [Ans.: 3cm, 6cm]

Q15 :} The lengths of the sides forming a right angled Δ is cm and cm. Area of the triangle is cm2. Find the hypotenuse. [Ans.: 17cm]

Q16 :} takes days less than the time taken by to complete a work. If they together can complete the work in days, find the time taken by each to finish the work. [Ans.: A = 6 days, B = 12 days.]

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