AP EAMCET · Maths · Circle
A stick of length units slides with its ends on coordinate axes. Then the locus of the midpoint of the stick is a curve whose length is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
Let the stick intercepts x-axis at point a,0 and y-axis at point 0,b and α,β are midpoints of the stick. then, a+02=α⇒a=2α b+02=β⇒b=2β Now given length of stick is r units, Then, r2=a-02+0-b2 ⇒r2=a2+b2 ⇒r2=2α2+2β2…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If \(\alpha, \beta, \gamma\) are the roots of \(x^3-2 x^2+3 x-4=0\), then the value of \(\alpha^2 \beta^2+\beta^2 \gamma^2+\gamma^2 \alpha^2\) isAP EAMCET 2007 Medium
- If \(\frac{6 x^3+7 x^2-14 x+11}{6 x^3+x^2-10 x+3}=a+\frac{b}{x+p}+\frac{c}{q x+3}+\frac{d}{3 x+p}\) then \(\frac{a+b}{p+q}=\)AP EAMCET 2023 Hard
- The cubic equation whose roots are the squares of the roots of the equation \(12 x^3-20 x^2+x+3=0\) isAP EAMCET 2024 Medium
- If \(\mathrm{M}_1\) and \(\mathrm{M}_2\) are the maximum values of \(\frac{1}{11 \cos 2 x+60 \sin 2 x+69}\) and \(3 \cos ^2 5 x+4 \sin ^2 5 x\) respectively, then \(\frac{M_1}{M_2}=\)AP EAMCET 2024 Medium
- If \(x=f(\theta)\) and \(y=g(\theta)\), then \(\frac{d^2 y}{d x^2}=\)AP EAMCET 2022 Medium
- If \(m\) and \(\sigma^2\) are the mean and variance of the random variable \(X\), whose distribution is given by
ThenAP EAMCET 2009 Medium
More PYQs from AP EAMCET
- The plane passing through the points \((1,1,1),(1,-1,1)\) and \((-7,-3,-5)\) isAP EAMCET 2021 Easy
- The machine gun fires 240 bullets per minute. If the mass of each bullet is \(10 \mathrm{~g}\) and the velocity of the bullets is \(600 \mathrm{~ms}^{-1}\), the power (in kW) of the gun isAP EAMCET 2005 Medium
- A heating element is designed to dissipate \(2400 \mathrm{~W}\) when connected to \(240 \mathrm{~V}\). The power it dissipates when it is connected to \(120 \mathrm{~V}\) is (Assume that resistance of the filament is constant)AP EAMCET 2022 Easy
- Consider the following.
Statement-I : Shaving soaps contain glycerol to prevent rapid drying
Statement-II : Laundry soaps contain sodium carbonate as filler
Correct answer isAP EAMCET 2025 Easy - Let \([\mathrm{t}]\) represents the greatest integer not more than \(\mathrm{t}\).Then the number of discontinuous points of \(f(x)$$=\left[X^{\frac{1}{x}}\right]\)in \((0, \infty)\) isAP EAMCET 2023 Easy
- If \(A\) is in the third quadrant and \(\tan A=\frac{\sqrt{7}}{3}\), then \(18-16 \sin ^2 \frac{A}{2}-32 \sin \frac{A}{2} \sin \frac{5 A}{2}=\)AP EAMCET 2018 Medium