assertion and reason questions
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Answer:
A is false R is true
because in A the ratios are not dividing in same
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2
By BPT,
AD/DB = AE/EC
=> (7x - 4)/(3x + 4) = (5x - 2)/(3x)
=> 21x² - 15x = 15x² - 20x - 6x - 8
[By cross multiplication.]
By further simplifying,
6x² - 26x + 8 = 0
Factoring the LHS through middle term split method:
3x² - 13x + 4 = 0
=> 3x² - 12x - 1x + 4 = 0
=> 3x(x - 4) - 1(x - 4) = 0
=> (3x - 1)(x - 4) = 0
=> x = + 4, + 1/3.
The question says that x is 5 but x is either 1/3 cm or 4 cm. So, assertion or A is wrong.
But, the reason states the Thales theorem, which is correct.
Hence, we approached at: (D) Assertion is false but Reason is true.
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Yuseong:
Awesome!
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