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The line L1:""y""-""x""=""0 and L2:""2x"...

The line `L_1:""y""-""x""=""0` and `L_2:""2x""+""y""=""0` intersect the line `L_3:""y""+""2""=""0` at P and Q respectively. The bisector of the acute angle between `L_1` and `L_2` intersects `L_3` at R. Statement-1 : The ratio `P R"":""R Q` equals `2sqrt(2):""sqrt(5)` Statement-2 : In any triangle, bisector of an angle divides the triangle into two similar triangles. Statement-1 is true, Statement-2 is true ; Statement-2 is correct explanation for Statement-1 Statement-1 is true, Statement-2 is true ; Statement-2 is not a correct explanation for Statement-1 Statement-1 is true, Statement-2 is false Statement-1 is false, Statement-2 is true

A

Statement 1 is true, statement 2 is false.

B

Statement 1 is true, statement 2 is true, statement 2 is the correct explanation of statement1.

C

Statement 1 is true, statement 2 is true, statement 2 is not the correct explanation of statement 1.

D

Statement 1 is false, statement 2 is true.

Text Solution

Verified by Experts

The correct Answer is:
A
Draw lines on coordinate axes as shown here.

From the geometry of angle bisector,
`(PR)/(RQ) = (OP)/(OQ) = (2sqrt(2))/(sqrt(5))`
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