Mathematics - Circle Question with Solution | TestHub

MathematicsCircleMiscellaneous/MixedMedium2 minPYQ_2024

MathematicsMediumsingle choice

The locus of the mid-point of a chord of the circle $x^{2} + y^{2} = 4$ , which subtends a right angle at the origin is

Options:

Answer:

Solution:

According to question, $OC = h^{2} + k^{2}$ In $△ OCB$ , $cos 4 5^{\circ} = \frac{h ^{2} + k ^{2}}{2} \Rightarrow \frac{h ^{2} + k ^{2}}{2} = \frac{1}{2} \Rightarrow h^{2} + k^{2} = 2$ Replacing $h \to x$ and $k \to y$ $Locus \Rightarrow x^{2} + y^{2} = 2$

Stream:BITSATSubject:MathematicsTopic:CircleSubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: PYQ_2024

Doubts & Discussion

Loading discussions...