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The graphs of ax + by =c, dx + ey =f wil...

The graphs of ax + by =c, dx + ey =f will
be
1. parallel if the system has no solution
2. coincident if the system has finite
number of solutions
3. intersecting if the system has only one solution
Which of the above statements are
correct ?

A

Only I and II

B

Only II and III

C

Only I and III

D

I, II and III

Text Solution

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The correct Answer is:
A, B, D
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ARIHANT SSC-LINEAR EQUATIONS-Exercise Basic Level Questions
  1. I. If 2x + 3y = 29 and y = x + 3, what is the value of x?

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  2. If 3x+7y=75 and 5x-5y=25, what is the value of x+y

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  3. The cost of 2 sarees and 4 shirt is rs 16000 while 1 saree and 6 shirt...

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  4. Deepak has some hens and some goats. If the total number of animal hea...

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  5. The sum of the two digits of a two-digit number is 15 and the diffe...

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  6. The number of a fraction is 6x+1 and the denomination is 7-4x x can ha...

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  7. If x/4+y/3=10/24 and x/2+y=1, then the value of (x+y) is

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  8. If (x+y-8)/2 = (x+2y-14)/3 = (3x+y-12)/11, then find the values of x a...

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  9. The cost of 21 pencils and 9 clippers is ? 810. What is the total cost...

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  10. The value of k for which kx+3y-k+3=0 and 12x+ky+k, have infinite solut...

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  11. If 6x - 10y = 0 and x/(x + y) = 5/7, then (x-y) = ?

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  12. Solve 6x + 3y = 7xy and 3x + 9y = 11xy.

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  13. In a rare coin collection, there is one gold coin for every three non-...

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  14. The system of equations 2x+ 4y = 6 and 4x + 8y = 6 has

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  15. (sqrt(3 + x) + sqrt(3 - x))/(sqrt( 3 + x) - sqrt( 3 - x)) = 2 then x ...

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  16. In an examination, a student scores 4 marks for every correct answer a...

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  17. The graphs of ax + by =c, dx + ey =f will be 1. parallel if the sy...

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  18. If 3 ^( x + y) = 81 and 81 ^( x - y) = 3, then the value of x/y is:

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  19. Ten chairs and six tables together cost X 6200, three chairs and two t...

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  20. If x + y -7 =0 and 3x + y -13 = 0. then what is 4x^(2) + y^(2) + 4xy e...

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