Self Studies

Quadratic Equat...

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  • Question 1
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  • Question 2
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    The sum of reciprocals of Sharma’s age 3 years ago and 5 years from now is 1/3, then his present age is

     

  • Question 3
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    If the quadratic equation kx(x – 2) + 6 = 0 has equal roots, then the value of ‘k’ is

     

  • Question 4
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    If one root of the equation ax2 + bx + c = 0 is three times the other, then b2:ac=

     

  • Question 5
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    A train travels 360km at a uniform speed. If the speed had been 5 km/hr more, it would have taken 1 hour less for the same journey, then the actual speed of the train is

     

  • Question 6
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    Let b = a + c. Then the equation ax2+bx+c=0 has equal roots if

  • Question 7
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    The discriminant of the quadratic equation 3√3x2+10x+√3=0

  • Question 8
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    If one root of the equation 4x2−2x+(λ−4)=0 be the reciprocal of the other, then the value of λ is

  • Question 9
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    Rohan’s mother is 26 years older than him. The product of their ages 3 years from now will be 360, then Rohan’s present age is

     

  • Question 10
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    The nature of the roots of the equation   

  • Question 11
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    By a reduction of Re.1 per kg in the price of sugar, Radha can buy one kg sugar more for Rs.56. The original price of 1 kg of sugar is

  • Question 12
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    If the sum of the roots of x2−(k+6)x+2(2k−1)=0 is equal to half of their product, then k =

  • Question 13
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    500 bananas were divided equally among a certain number of students. If there were 25 more students, each would have received one banana less. Then the number of students is

  • Question 14
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    A cyclist takes 2 hours less to cover a distance of 200 km, if he increases his speed by 5 km/hr. Then his original speed is

  • Question 15
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    The discriminant of 4x2 + 3x – 2 = 0 is

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