Maths
General
Easy
Question
The eccentricity of the hyperbola with asymptotes 3x + 4y = 2 and 4x – 3y = 2 is
 3
 2

 4
Hint:
The eccentricity of a hyperbola is always greater than 1. i.e. e > 1. The eccentricity of a hyperbola can be taken as the ratio of the distance of the point on the hyperbole, from the focus, and its distance from the directrix.
Eccentricity = Distance from Focus/Distance from Directrix
The correct answer is:
We have been given two asymptotes i.e. 3x + 4y = 2 and 4x – 3y = 2
First find out their slopes
From above we can see that m1 and m2 are negative inverse of each other that means both are perpendicular to each other.
It is a rectangular hyperbola and it has fixed eccentricity.
Thus eccentricity =
Related Questions to study
Maths
The number of ways that '6' rings can be worn on the 4  fingers of one hand is
The number of ways that '6' rings can be worn on the 4  fingers of one hand is
MathsGeneral
Maths
The total number of 8 digited numbers which have all different digits is
The total number of 8 digited numbers which have all different digits is
MathsGeneral
physics
Which part shows initial velocity of the particle?
Which part shows initial velocity of the particle?
physicsGeneral
Maths
The equation of the ellipse with axes along the x – axis and the y – axis, which passes thro’ the points P (4, 3) and Q (6, 2) is
The equation of the ellipse with axes along the x – axis and the y – axis, which passes thro’ the points P (4, 3) and Q (6, 2) is
MathsGeneral
physics
Which area shows the displacement covered by the particle after time t.
Which area shows the displacement covered by the particle after time t.
physicsGeneral
Chemistry
Polarization power of a cation increases when
Polarization power of a cation increases when
ChemistryGeneral
physics
Here are the graphs of v→ t of moving body. which of them is not suitable
Here are the graphs of v→ t of moving body. which of them is not suitable
physicsGeneral
Maths
The number of values of c such that st. line y = 4x + c touches the curve is
The number of values of c such that st. line y = 4x + c touches the curve is
MathsGeneral
Maths
Tangents are drawn to the ellipse at the ends of the latus rectum. The are of the quadrilateral so formed is
Tangents are drawn to the ellipse at the ends of the latus rectum. The are of the quadrilateral so formed is
MathsGeneral
Maths
A tangent to the ellipse x^{2} + 4y^{2} = 4 meets the ellipse x^{2} + 2y^{2} = 6 at P and Q. The angle between the tangents at P and Q of the ellipse x^{2} + 2y^{2} = 6 is
A tangent to the ellipse x^{2} + 4y^{2} = 4 meets the ellipse x^{2} + 2y^{2} = 6 at P and Q. The angle between the tangents at P and Q of the ellipse x^{2} + 2y^{2} = 6 is
MathsGeneral
physics
Here are the graphs of x→ t of moving body. which of them is not suitable?
Here are the graphs of x→ t of moving body. which of them is not suitable?
physicsGeneral
Maths
A cubic polynomial f(x) = ax^{3} + bx^{2} + cx + d has a graph which touches the xaxis at 2, has another xintercept at –1 and has yintercept at –2 as shown. The value of, a + b + c + d equals
If a function has a tangent at a point x= , then, it means, it is the critical point of that function and the derivative of the function is zero at that point.
Perform the calculations carefully, to avoid silly mistakes.
One should know how to read a graph to solve such questions.
A cubic polynomial f(x) = ax^{3} + bx^{2} + cx + d has a graph which touches the xaxis at 2, has another xintercept at –1 and has yintercept at –2 as shown. The value of, a + b + c + d equals
MathsGeneral
If a function has a tangent at a point x= , then, it means, it is the critical point of that function and the derivative of the function is zero at that point.
Perform the calculations carefully, to avoid silly mistakes.
One should know how to read a graph to solve such questions.
Maths
Consider f(x) = 1–x 1 £ x £ 2 and g(x )= f(x) + b , 1 £ x £ 2 then which of the following is correct?
Consider f(x) = 1–x 1 £ x £ 2 and g(x )= f(x) + b , 1 £ x £ 2 then which of the following is correct?
MathsGeneral
Maths
The value of c in Lagrange’s theorem for the function f(x) = log sin x in the interval is 
The value of c in Lagrange’s theorem for the function f(x) = log sin x in the interval is 
MathsGeneral
physics
The relation between time and displacement of a moving particle is given by where is a constant. The shape of the graph is is....
The relation between time and displacement of a moving particle is given by where is a constant. The shape of the graph is is....
physicsGeneral