Mathematics › Hyperbola
Hyperbola Questions
119 questions across 8 subtopics — with step-by-step solutions.
Asymptotes(6)
- Acute angle between the asymptotes of the... | Mathematics | TestHub
- The asymptotes of a hyperbola are parallel... | Mathematics | TestHub
- The equation of Asymptotes of x y+2 x+4 y+... | Mathematics | TestHub
- The product of perpendiculars from any poi... | Mathematics | TestHub
- If the angle between the asymptotes of hyp... | Mathematics | TestHub
- If every line of slope 2 meets \frac{x^{2}... | Mathematics | TestHub
Chords(2)
General(69)
- If is the eccentricity of the ellipse and... | Mathematics | TestHub
- For the hyperbola , which of the following... | Mathematics | TestHub
- Consider a branch of the hyperbola with ve... | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
- Let the eccentricity of the hyperbola be r... | Mathematics | TestHub
- If the eccentricity of a hyperbola , which... | Mathematics | TestHub
- The eccentricity of the hyperbola whose le... | Mathematics | TestHub
- Letandrespectively be the semi-transverse... | Mathematics | TestHub
- A hyperbola whose transverse axis is along... | Mathematics | TestHub
- Ifandare the eccentricities of a hyperbola... | Mathematics | TestHub
- Let , where , be a hyperbola in the xy-pla... | Mathematics | TestHub
- LetIf the eccentricity of the hyperbolais... | Mathematics | TestHub
- A hyperbola has its centre at the origin,... | Mathematics | TestHub
- If the vertices of a hyperbola be atandand... | Mathematics | TestHub
- If a hyperbola has length of its conjugate... | Mathematics | TestHub
- Ifis the directrix of the hyperbolathen it... | Mathematics | TestHub
- If a directrix of a hyperbola centered at... | Mathematics | TestHub
- The locus of the centroid of the triangle... | Mathematics | TestHub
- The locus of the point of intersection of... | Mathematics | TestHub
- Let the hyperbolapass through the point. A... | Mathematics | TestHub
- If the line, is a directrix of the hyperbo... | Mathematics | TestHub
- Let, be a hyperbola such that the sum of l... | Mathematics | TestHub
- Let. Letandrespectively be the eccentricit... | Mathematics | TestHub
- Letbe the hyperbola, whose foci areand ecc... | Mathematics | TestHub
- Letbe a rectangle given by the lines,and.... | Mathematics | TestHub
- Let. Letbe the smallest even value ofsuch... | Mathematics | TestHub
- If the eccentricity and length of latus re... | Mathematics | TestHub
- Let be a square matrix of order 2 such tha... | Mathematics | TestHub
- Let the latus rectum of the hyperbolasubte... | Mathematics | TestHub
- If the foci of a hyperbola are same as tha... | Mathematics | TestHub
- Letbe an ellipse, whose eccentricity isand... | Mathematics | TestHub
- For , if the eccentricity of the hyperbola... | Mathematics | TestHub
- Let the foci of a hyperbola coincide with... | Mathematics | TestHub
- Letbe a point on the hyperbola, in the fir... | Mathematics | TestHub
- Let the foci and length of the latus rectu... | Mathematics | TestHub
- Let be the focus of the hyperbola , on the... | Mathematics | TestHub
- The foci of hyperbola are | Mathematics | TestHub
- Let be the hyperbola, whose eccentricity i... | Mathematics | TestHub
- Consider a hyperbola having centre at the... | Mathematics | TestHub
- Letbe the eccentricity of the hyperbolaand... | Mathematics | TestHub
- If the equation of the hyperbola with foci... | Mathematics | TestHub
- Let the sum of the focal distances of the... | Mathematics | TestHub
- Let one focus of the hyperbola be at and t... | Mathematics | TestHub
- Let and . Let the distance between the foc... | Mathematics | TestHub
- If and are the points of intersection of t... | Mathematics | TestHub
- Let one focus of the hyperbola be at and t... | Mathematics | TestHub
- Let the circle touch the line , have the c... | Mathematics | TestHub
- Consider the hyperbola having one of its f... | Mathematics | TestHub
- Let and be two hyperbolas having length of... | Mathematics | TestHub
- Let the product of the focal distances of... | Mathematics | TestHub
- Let the lengths of the transverse and conj... | Mathematics | TestHub
- If and are the points of intersection of t... | Mathematics | TestHub
- Let the foci of a hyperbola be and . If it... | Mathematics | TestHub
- Let the sum of the focal distances of the... | Mathematics | TestHub
- Let and . Let the distance between the foc... | Mathematics | TestHub
- \mathrm{F}_{1}, \mathrm{~F}_{2} are left a... | Mathematics | TestHub
- If a hyperbola passes through the focus of... | Mathematics | TestHub
- The equation a x^{2}+2 h x y+b y^{2}+2 g x... | Mathematics | TestHub
- With H as in Q16, let E: x^{2} / 16+y^{2}... | Mathematics | TestHub
- If the angle between the asymptotes of hyp... | Mathematics | TestHub
- If e is the eccentricity of the hyperbola... | Mathematics | TestHub
- Which of the following is INCORRECT for th... | Mathematics | TestHub
- Let \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}... | Mathematics | TestHub
- If the foci of the ellipse \frac{x^{2}}{25... | Mathematics | TestHub
- If CP, CD are semiconjugate diameters of 5... | Mathematics | TestHub
- If e is the eccentricity of the hyperbola... | Mathematics | TestHub
- The equation \frac{\mathrm{x}^{2}}{9-\lamb... | Mathematics | TestHub
- If PQ is a double ordinate of the hyperbol... | Mathematics | TestHub
- For the hyperbola given by the equation ,... | Mathematics | TestHub
Miscellaneous/Mixed(19)
- Paragraph:The circle and hyperbola interse... | Mathematics | TestHub
- The line is tangent to the hyperbola . If... | Mathematics | TestHub
- Let be a point on the hyperbola . If the n... | Mathematics | TestHub
- Find the eccentricity of the conic represe... | Mathematics | TestHub
- If equationrepresents a hyperbola, then | Mathematics | TestHub
- Ifis a tangent to the hyperbola, then whic... | Mathematics | TestHub
- Ifandare the eccentricities of the ellipse... | Mathematics | TestHub
- A hyperbola having the transverse axis of... | Mathematics | TestHub
- Letandbe the eccentricities of the ellipse... | Mathematics | TestHub
- For someif the eccentricity of the hyperbo... | Mathematics | TestHub
- A hyperbola passes through the foci of the... | Mathematics | TestHub
- Let the hyperbolaand the ellipsebe such th... | Mathematics | TestHub
- An ellipsepasses through the vertices of t... | Mathematics | TestHub
- Let the foci of the ellipseand the hyperbo... | Mathematics | TestHub
- Let the eccentricity of an ellipse is reci... | Mathematics | TestHub
- The vertices of the hyperbola are | Mathematics | TestHub
- Let and be the eccentricities of the ellip... | Mathematics | TestHub
- List - IList - II(P) Locus of centre of ci... | Mathematics | TestHub
- Let \left(a x^{2}+b y^{2}-c\right)\left(a... | Mathematics | TestHub
Pole and Polar(1)
Rectangular Hyperbola(4)
Tangent to hyperbola(15)
- Tangents are drawn to the hyperbola , para... | Mathematics | TestHub
- Consider the hyperbolaand a circle S with... | Mathematics | TestHub
- A tangent drawn to hyperbolaatforms a tria... | Mathematics | TestHub
- Letandbe positive real numbers such thatan... | Mathematics | TestHub
- Consider a hyperbola. Let the tangent at a... | Mathematics | TestHub
- Consider the hyperbolawith foci atand, whe... | Mathematics | TestHub
- Let H: x^{2} / a^{2}-y^{2} / b^{2}=1 have... | Mathematics | TestHub
- Let PN be the ordinate of a point P on the... | Mathematics | TestHub
- Find the common tangents to x^{2}-y^{2}=12... | Mathematics | TestHub
- The tangent at the point of abscissa 5 \sq... | Mathematics | TestHub
- If PN be the ordinate of a point P on the... | Mathematics | TestHub
- If \mathrm{P}(\mathrm{x}, \mathrm{y}) sati... | Mathematics | TestHub
- From a point on x-y+2=0 , tangents are dra... | Mathematics | TestHub
- The slope of a common tangent to x^{2} / 1... | Mathematics | TestHub
- If a variable tangent of the hyperbola \fr... | Mathematics | TestHub
Tangents & Normals(3)
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