Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

The latus-rectum of the hyperbola $16 x to the power of 2 end exponent minus 9 y to the power of 2 end exponent equals$ $144$ , is

$\frac{16}{3}$
$\frac{32}{3}$
$\frac{8}{3}$
$\frac{4}{3}$

The correct answer is: $fraction numerator 32 over denominator 3 end fraction$

The given equation of hyperbola is
$16 x to the power of 2 end exponent minus 9 y to the power of 2 end exponent equals 144 rightwards double arrow fraction numerator x to the power of 2 end exponent over denominator 9 end fraction minus fraction numerator y to the power of 2 end exponent over denominator 16 end fraction equals 1$
\ L.R. $equals fraction numerator 2 b to the power of 2 end exponent over denominator a end fraction$ = $fraction numerator 2.16 over denominator 3 end fraction equals fraction numerator 32 over denominator 3 end fraction$ .

Related Questions to study

Let $stack a with rightwards arrow on top equals 2 stack i with hat on top plus stack j with hat on top minus 2 stack k with hat on top$ and $stack b with rightwards arrow on top equals stack i with hat on top plus stack j with hat on top$ . If $stack c with rightwards arrow on top$ is a vector such that $stack a with rightwards arrow on top. stack c with rightwards arrow on top equals open vertical bar stack c with rightwards arrow on top close vertical bar comma open vertical bar stack c with rightwards arrow on top minus stack a with rightwards arrow on top close vertical bar$ = $2 square root of 2$ and the angle between $open parentheses stack a with rightwards arrow on top cross times stack b with rightwards arrow on top close parentheses$ and $stack c with rightwards arrow on top$ is 30⁰, then find the value of $open vertical bar open parentheses stack a with rightwards arrow on top cross times stack b with rightwards arrow on top close parentheses cross times stack c with rightwards arrow on top close vertical bar$ .

Let $stack a with rightwards arrow on top equals 2 stack i with hat on top plus stack j with hat on top minus 2 stack k with hat on top$ and $stack b with rightwards arrow on top equals stack i with hat on top plus stack j with hat on top$ . If $stack c with rightwards arrow on top$ is a vector such that $stack a with rightwards arrow on top. stack c with rightwards arrow on top equals open vertical bar stack c with rightwards arrow on top close vertical bar comma open vertical bar stack c with rightwards arrow on top minus stack a with rightwards arrow on top close vertical bar$ = $2 square root of 2$ and the angle between $open parentheses stack a with rightwards arrow on top cross times stack b with rightwards arrow on top close parentheses$ and $stack c with rightwards arrow on top$ is 30⁰, then find the value of $open vertical bar open parentheses stack a with rightwards arrow on top cross times stack b with rightwards arrow on top close parentheses cross times stack c with rightwards arrow on top close vertical bar$ .

The equation of the line passing through the point (1, -2, 3) and parallel to the line x – y + 2z = 5 and 3x + y + z = 6 is

The equation of the line passing through the point (1, -2, 3) and parallel to the line x – y + 2z = 5 and 3x + y + z = 6 is

If (1 + x + x²)ⁿ = a₀ + a₁x + a₂x² + ………+a_2nx²ⁿ, then the value of the determinant $open vertical bar table row cell a subscript n minus 3 end subscript end cell cell a subscript n minus 1 end subscript end cell cell a subscript n plus 1 end subscript end cell row cell a subscript n minus 6 end subscript end cell cell a subscript n minus 3 end subscript end cell cell a subscript n plus 3 end subscript end cell row cell a subscript n minus 14 end subscript end cell cell a subscript n minus 7 end subscript end cell cell a subscript n plus 7 end subscript end cell end table close vertical bar$ is always

If (1 + x + x²)ⁿ = a₀ + a₁x + a₂x² + ………+a_2nx²ⁿ, then the value of the determinant $open vertical bar table row cell a subscript n minus 3 end subscript end cell cell a subscript n minus 1 end subscript end cell cell a subscript n plus 1 end subscript end cell row cell a subscript n minus 6 end subscript end cell cell a subscript n minus 3 end subscript end cell cell a subscript n plus 3 end subscript end cell row cell a subscript n minus 14 end subscript end cell cell a subscript n minus 7 end subscript end cell cell a subscript n plus 7 end subscript end cell end table close vertical bar$ is always

parallel

India play two matches each with West Indies and Australia .In any match the probabilities of India getting points 0, 1 and 2 are 0.45, 0.05 and 0.50 respectively. Assuming that the outcomes are independent, the probability of India getting at least 7 points is

India play two matches each with West Indies and Australia .In any match the probabilities of India getting points 0, 1 and 2 are 0.45, 0.05 and 0.50 respectively. Assuming that the outcomes are independent, the probability of India getting at least 7 points is

If the eccentricities of the hyperbolas $fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction minus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction equals 1$ and $fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction minus fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction equals 1$ be e and $e subscript 1 end subscript$ , then $fraction numerator 1 over denominator e to the power of 2 end exponent end fraction plus fraction numerator 1 over denominator e subscript 1 end subscript superscript 2 end superscript end fraction equals$

If the eccentricities of the hyperbolas $fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction minus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction equals 1$ and $fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction minus fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction equals 1$ be e and $e subscript 1 end subscript$ , then $fraction numerator 1 over denominator e to the power of 2 end exponent end fraction plus fraction numerator 1 over denominator e subscript 1 end subscript superscript 2 end superscript end fraction equals$

The equation of the normal at the point (2, 3) on the ellipse $9 x to the power of 2 end exponent plus 16 y to the power of 2 end exponent equals 180$ , is

The equation of the normal at the point (2, 3) on the ellipse $9 x to the power of 2 end exponent plus 16 y to the power of 2 end exponent equals 180$ , is

parallel

The locus of the point of intersection of mutually perpendicular tangent to the ellipse $fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction plus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction equals 1$ , is

The locus of the point of intersection of mutually perpendicular tangent to the ellipse $fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction plus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction equals 1$ , is

The eccentricity of the curve represented by the equation $x to the power of 2 end exponent plus 2 y to the power of 2 end exponent minus 2 x plus 3 y plus 2 equals 0$ is

The eccentricity of the curve represented by the equation $x to the power of 2 end exponent plus 2 y to the power of 2 end exponent minus 2 x plus 3 y plus 2 equals 0$ is

If a bar of given length moves with its extremities on two fixed straight lines at right angles, then the locus of any point on bar marked on the bar describes a/an

If a bar of given length moves with its extremities on two fixed straight lines at right angles, then the locus of any point on bar marked on the bar describes a/an

parallel

If one of the roots is $square root of 3 minus square root of 2 comma$ then the equation of lowest degree with rational coefficients is

If one of the roots is $square root of 3 minus square root of 2 comma$ then the equation of lowest degree with rational coefficients is

A running track of 440 ft. is to be laid out enclosing a foot ball field, the shape of which is a rectangle with a semi – circle at each end. If the area of the rectangular portion is maximum, the lengths of the sides are

A running track of 440 ft. is to be laid out enclosing a foot ball field, the shape of which is a rectangle with a semi – circle at each end. If the area of the rectangular portion is maximum, the lengths of the sides are

Assuming that stiffness of a beam of rectangular cross – section varies as the breadth and as the cube of the depth, for the stiffest beam which can be cut out of a circular beam of radius ‘r’, breadth must be equal to

Assuming that stiffness of a beam of rectangular cross – section varies as the breadth and as the cube of the depth, for the stiffest beam which can be cut out of a circular beam of radius ‘r’, breadth must be equal to

parallel

A company desires to manufacture a large number of open metal boxes having a square bottom and a fixed volume of 32 c.c. If the metal used is minimum the dimensions of the box are

A company desires to manufacture a large number of open metal boxes having a square bottom and a fixed volume of 32 c.c. If the metal used is minimum the dimensions of the box are

The emf of a cell depends on ...............

The emf of a cell depends on ...............

Physics-General

The chemical energy of cell changes into .......... energy of electron

The chemical energy of cell changes into .......... energy of electron

Physics-General

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.