Page 32 - CHAPTER 4 (Quadratic equations)

CHAPTER 4

QUADRATIC EQUATIONS

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40. Find the values of k for which the equation x + 5kx + 16 = 0 has no
real roots.

41. If p, q, r are real and p  q , then show that the roots of the equation

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(p – q)x + 5(p + q)x – 2(p – q) = 0 are real and unequal.

42. If α, β be the roots of ax2 + bx + c = 0 and γ, δ those of x² + mx + n =

0, then find the equation whose roots are αγ+ βδ and αδ+ βγ.

43. If the quadratic equations x²-11x+a=0 and x²-14x+2a=0 have a

common root, then values of a are?

44. If α, β are the roots of the quadratic equation 6x²-6x+1=0, then

1 2 3 1 2 3
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2 (a+bα+cα + dα )+ (a+bβ+cβ +dβ )=
45. A two-digit number is such that the product of the digits is 12.

When 36 is added to the number the digits interchange their

places. The number is.

46. A dealer sells an article for Rs. 24 and gains as much percent as

the cost price of the article. The cost price of the article is-

Crossword

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