A line {\L} has intercepts {\a} and {\b} on the coordinate axes. When the coordinate axes are rotated through an angle \alpha keeping the origin fixed, the same line {\L} has intercepts {\p} and {\q} on the new axes. Then [TG EAPCET 12 May 2023 Shift 2]

Correct Answer is : 1a2+1b2=1p2+1q2

\frac{1}{a^2}+\frac{1}{p^2}=\frac{1}{b^2}+\frac{1}{q^2}

\frac{1}{a^2}+\frac{1}{b^2}=\frac{1}{p^2}+\frac{1}{q^2}

TS EAMCET Engineering 12 May 2023 Shift 2 Solved Paper

Section: Mathematics

Question : 42 of 160

Marks: +1, -0

A line L has intercepts a and b on the coordinate axes. When the coordinate axes are rotated through an angle α keeping the origin fixed, the same line L has intercepts p and q on the new axes. Then

[TG EAPCET 12 May 2023 Shift 2]

a2+b2=p2+q2
a2+p2=b2+q2
‌
1
a2
+‌
1
p2
=‌
1
b2
+‌
1
q2
‌
1
a2
+‌
1
b2
=‌
1
p2
+‌
1
q2

Validate

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