TS EAMCET · Maths · Parabola
If \(\left(2 t^2, 4 t\right)\) is a point on the parabola \(y^2=8 x\) such that its focal distance is 3 , then \(t=\)
- A \(\pm 1\)
- B \(\pm \frac{1}{2}\)
- C \(\pm \frac{1}{\sqrt{3}}\)
- D \(\pm \frac{1}{\sqrt{2}}\)
Answer & Solution
Correct Answer
(D) \(\pm \frac{1}{\sqrt{2}}\)
Step-by-step Solution
Detailed explanation
Given equation of parabola \(y^2=8 x\) with point \(\left(2 \mathrm{t}^2, 4 \mathrm{t}\right)\) Foci coordinate \((\mathrm{a}, 0)=(2,0)\). According to question,…
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
- The product of all the values of \((\sqrt{3}-i)^{\frac{3}{7}}\) isTS EAMCET 2025 Medium
- The system of equations \(3 x+2 y+z=6\), \(3 x+4 y+3 z=14\) and \(6 x+10 y+8 z=a\), has infinite number of solutions, if \(a\) is equal toTS EAMCET 2013 Hard
- \(\int \frac{d x}{\left(2 a x+x^2\right)^{\frac{3}{2}}}=\)TS EAMCET 2018 Medium
- Let be an matrix defined by . If trace of and then the value of isTS EAMCET 2022 Medium
- For \(a \neq b \neq c\), if the lines \(x+2 a y+a=0\), \(x+3 b y+b=0\) and \(x+4 c y+c=0\) are concurrent, then \(a, b, c\) are inTS EAMCET 2018 Easy
- The product of all the real roots of \(x^2-8 x+9-\frac{8}{x}+\frac{1}{x^2}=0\) isTS EAMCET 2017 Easy
More PYQs from TS EAMCET
- A value of \(n\) such that \(\left(\frac{\sqrt{3}}{2}+\frac{i}{2}\right)^n=1\) isTS EAMCET 2007 Medium
- The approximate value of \(\sec 59^{\circ}\) obtained by taking \(1^{\circ}=\) 0.0174 and \(\sqrt{3}=1.732\) isTS EAMCET 2024 Easy
- Let \(f:[0,10] \rightarrow[1,20]\) be a function defined as \(f(x)=\left\{\begin{array}{ll}\frac{60-5 x}{3}, & 0 \leq x \leq 6 \ 10, & 6 \leq x \leq 7 \ 31-3 x, & 7 \leq x \leq 10\end{array}\right.\) then \(f\) isTS EAMCET 2020 Easy
- A line is passing through the point whose position vector is and parallel to the vector . A plane is passing through the points and parallel to the vector . Then the point where this plane meets the line isTS EAMCET 2018 Hard
- If \(z=\sqrt{2} \sqrt{1+\sqrt{3 i}}\) represents a point \(P\) in the argand plane and \(P\) lies in the third quadrant, then the polar form of \(z\) isTS EAMCET 2019 Easy
- The correct order of reactivity of hydrogen halides with ethyl alcohol isTS EAMCET 2008 Easy