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Maths-

General

Easy

Question

A line is such that its intercepts on the co-ordinate axes are e and where e and are the eccentricities of a hyperbola and its conjugate hyperbola. If this line is touching a fixed circle, then the area of the circle is

$\frac{π}{2}$ sQ. units
$π$ sQ. units
$\frac{3 π}{2}$ sQ. units
$2 π$ sQ. units

The correct answer is: $straight pi$ sQ. units

Related Questions to study

$S equals y squared minus 4 x plus 4 equals 0$ and $S to the power of 1 equals 0$ is a hyperbola whose asympotes are the tangents drawn from origin to S = 0, and length of transverse axis is equal to length of latus rectum of S = 0. If $straight S comma straight S to the power of 1$ intersect at two points A and B then distance AB is

$S equals y squared minus 4 x plus 4 equals 0$ and $S to the power of 1 equals 0$ is a hyperbola whose asympotes are the tangents drawn from origin to S = 0, and length of transverse axis is equal to length of latus rectum of S = 0. If $straight S comma straight S to the power of 1$ intersect at two points A and B then distance AB is

The major product formed in the following reaction is

The major product formed in the following reaction is

Chemistry-General

If coefficient of $x squared y cubed z to the power of 4$ in $left parenthesis x plus y plus z right parenthesis to the power of n$ is, $A$ then coefficient of $x to the power of 4 y to the power of 4 z$ is

If coefficient of $x squared y cubed z to the power of 4$ in $left parenthesis x plus y plus z right parenthesis to the power of n$ is, $A$ then coefficient of $x to the power of 4 y to the power of 4 z$ is

parallel

Chemistry-General

What is the product(Q)of the following reaction?

What is the product(Q)of the following reaction?

Chemistry-General

,Rate of reaction to ward Beck man n rearrangement when

,Rate of reaction to ward Beck man n rearrangement when

Chemistry-General

parallel

r is the radius of a circle whose centre is the origin. If the circle does not intersect the hyperbola xy=1, then the range of r is the interval

r is the radius of a circle whose centre is the origin. If the circle does not intersect the hyperbola xy=1, then the range of r is the interval

A ray emanating from the point (5,0) is incident on the hyperbola $9 x squared minus 16 y squared equals 144$ at the point P with abscissa 8. The equation of the reflected ray after first reflection is (P lies in first quadrant)

A ray emanating from the point (5,0) is incident on the hyperbola $9 x squared minus 16 y squared equals 144$ at the point P with abscissa 8. The equation of the reflected ray after first reflection is (P lies in first quadrant)

Let $P open parentheses ct subscript 1 comma straight c over straight t subscript 1 close parentheses$ and $Q open parentheses ct subscript 2 comma straight c over straight t subscript 2 close parentheses$ be the points of a rectangular hyperbola $x y equals c squared$ which subtends at another point R ' of the given hyperbola, if ' s ' be the mid polint of PQ and ' $straight O to the power of straight prime$ centre of the hyperbola then area of the $straight triangle ROS$ is equal to

Let $P open parentheses ct subscript 1 comma straight c over straight t subscript 1 close parentheses$ and $Q open parentheses ct subscript 2 comma straight c over straight t subscript 2 close parentheses$ be the points of a rectangular hyperbola $x y equals c squared$ which subtends at another point R ' of the given hyperbola, if ' s ' be the mid polint of PQ and ' $straight O to the power of straight prime$ centre of the hyperbola then area of the $straight triangle ROS$ is equal to

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Statement 1: The number of triangles that can be formed with sides of length a,b,c where a,b,c are integers such that $a less or equal than b less or equal than c equals 15$ is 64 and
Statement 2: In a triangle the longest sides is less than the sum of the other two sides.

Statement 1: The number of triangles that can be formed with sides of length a,b,c where a,b,c are integers such that $a less or equal than b less or equal than c equals 15$ is 64 and
Statement 2: In a triangle the longest sides is less than the sum of the other two sides.

Number of quadrilaterals which can be constructed by joining the vertices of a convex polygon of 20 sides if none of the side of the polygon is also the side of the quadrilateral

Number of quadrilaterals which can be constructed by joining the vertices of a convex polygon of 20 sides if none of the side of the polygon is also the side of the quadrilateral

Number of positive integers that are divisors of atleast one of the numbers $10 to the power of 10 end exponent semicolon 15 to the power of 7 end exponent semicolon 18 to the power of 11 end exponent$ is

Number of positive integers that are divisors of atleast one of the numbers $10 to the power of 10 end exponent semicolon 15 to the power of 7 end exponent semicolon 18 to the power of 11 end exponent$ is

parallel

Let m denote the number of four digit numbers such that the left most digit is odd, the second digit is even and all four digits are different and n denotes the number of four digit numbers such that the left most digit is even, an odd second digit and all four different digits. If m = nk then the value of k equals

Let m denote the number of four digit numbers such that the left most digit is odd, the second digit is even and all four digits are different and n denotes the number of four digit numbers such that the left most digit is even, an odd second digit and all four different digits. If m = nk then the value of k equals

If f(x) is a real valued function discontinuous at all integral points lying in [0,n] and if $left parenthesis f left parenthesis x right parenthesis right parenthesis to the power of 2 end exponent equals 1 for all x element of left square bracket 0 comma n right square bracket$ then number of functions f(x) are

If f(x) is a real valued function discontinuous at all integral points lying in [0,n] and if $left parenthesis f left parenthesis x right parenthesis right parenthesis to the power of 2 end exponent equals 1 for all x element of left square bracket 0 comma n right square bracket$ then number of functions f(x) are

Number of positive integers that are divisiors of atleast one of the numbers $10 to the power of 10 end exponent semicolon 15 to the power of 7 end exponent semicolon 18 to the power of 11 end exponent$ is

Number of positive integers that are divisiors of atleast one of the numbers $10 to the power of 10 end exponent semicolon 15 to the power of 7 end exponent semicolon 18 to the power of 11 end exponent$ is

parallel

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