In the given figure- BX -1-2 AB - BY -1-2 BC and AB - ACWhich of the following is true-A- A X-A CB- BY - ABC- BX - BYD- B X-B C

The correct option is C BX = BY BX = 1/2AB, BY = 1/2 BC and AB = AC BX = 1/2AB, then AX = BX, AB = 2 BX BY = 1/2 BC, then BY = CY, BC = 2 BY AB = AC 2BX = ...

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Byju's Answer

Standard IX

Mathematics

Properties of Similar Triangles

In the given ...

Question

In the given figure,
$B X = \frac{1}{2} A B, B Y = \frac{1}{2} B C a n d A B = A C$ .
Which of the following is true?

BX = BC

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AX = AC

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BY = AB

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BX = BY

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Solution

The correct option is D BX = BY

$B X = \frac{1}{2} A B, B Y = \frac{1}{2} B C a n d A B = A C$
$B X = \frac{1}{2} A B, t h e n A X = B X, A B = 2 B X B Y = \frac{1}{2} B C, t h e n B Y = C Y, B C = 2 B Y$
$A B = A C 2 B X = 2 B Y B X = B Y$

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Similar questions

Q. In the adjacent figure, we have

B X = \frac{1}{2} A B, B Y = \frac{1}{2} B C

and

A B = B C

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and

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Q. Solve the following system of equations in

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and

b x + a y = \frac{(a + b)^{2}}{a^{2} + b^{2}} - 1

or,

b x + a y = \frac{2 a b}{a^{2} + b^{2}}

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(ii)

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(iii)

a^{2} + b c + a b + a c

(iv)

a x - a y + b x - b y

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In the given figure, BX=12AB, BY=12BC and AB=AC. Which of the following is true?

The correct option is D BX = BY BX=12AB, BY=12BC and AB=AC BX=12AB, then AX=BX, AB=2BXBY=12BC, then BY=CY, BC=2BY AB=AC2BX=2BYBX=BY

In the given figure,
$B X = \frac{1}{2} A B, B Y = \frac{1}{2} B C a n d A B = A C$ .
Which of the following is true?

The correct option is D BX = BY

$B X = \frac{1}{2} A B, B Y = \frac{1}{2} B C a n d A B = A C$
$B X = \frac{1}{2} A B, t h e n A X = B X, A B = 2 B X B Y = \frac{1}{2} B C, t h e n B Y = C Y, B C = 2 B Y$
$A B = A C 2 B X = 2 B Y B X = B Y$