Question:medium

The length of the latus rectum of a conic \( 49y^2 - 16x^2 = 784 \) is

Show Hint

The length of the latus rectum of a hyperbola is calculated using the formula \( L = \frac{2b^2}{a} \).

Updated On: May 5, 2026

\( \frac{49}{2} \)
\( \frac{49}{\sqrt{2}} \)
\( \frac{7}{\sqrt{2}} \)
\( 7 \)

Show Solution

The Correct Option is A

Solution and Explanation

Was this answer helpful?

0

Top Questions on sections of a cone

If the line 2x-1=0 is the directrix of the parabola y²-kx+6=0, then one of the values of k is
- BITSAT - 2010
- Mathematics
- sections of a cone
View Solution
The line ax+by=1 cuts ellipse cx²+dy²=1 only once if
- BITSAT - 2010
- Mathematics
- sections of a cone
View Solution
The length of the latus-rectum of the parabola whose focus is ((u²)/(2g)\sin2α,-(u²)/(2g)\cos2α) and directrix is y=(u²)/(2g), is:
- BITSAT - 2011
- Mathematics
- sections of a cone
View Solution
The equation of the ellipse with focus at (±5,0) and eccentricity =(5)/(6) is:
- BITSAT - 2011
- Mathematics
- sections of a cone
View Solution
Want to practice more? Try solving extra ecology questions todayView All Questions

Questions Asked in COMEDK UGET exam

The solution of \( (x+\log y)dy+ydx=0 \) when \( y(0)=1 \) is

COMEDK UGET - 2025
Differential equations

The order of the differential equation \( \frac{d}{dz}\left[\left(\frac{dy}{dz}\right)^3\right]=0 \) is

COMEDK UGET - 2025
Order and Degree of Differential Equation

Find the value of \( \displaystyle \lim_{h \to 0} \frac{(a+h)^2 \sin(a+h) - a^2 \sin a}{h} \)

COMEDK UGET - 2025
Derivatives

\( 0.2 + 0.22 + 0.022 + \cdots \) up to \( n \) terms is equal to

COMEDK UGET - 2025
Sequence and series