Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Hyperbola question

2025 · 3 Apr · Shift 2 · Q47
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Hyperbola
  5. /2025 · 3 Apr · Shift 2 · Q47

Hyperbola question

2025 · 3 Apr · Shift 2 · Q47

JEE MainMathematicsHyperbolaNumerical+4 / −1
If the equation of the hyperbola with foci (4,2)(4,2)(4,2) and (8,2)(8,2)(8,2) is 3x2−y2−αx+βy+γ=03 x^2-y^2-\alpha x+\beta y+\gamma=03x2−y2−αx+βy+γ=0, then α+β+γ\alpha+\beta+\gammaα+β+γ is equal to ‾\underline{\hspace{2cm}}​.
Numerical answer
PreviousNext

More from Hyperbola

  • Let the sum of the focal distances of the point P(4,3) on the hyperbola H:a2x2​− b2y2​=1 be 835​​. If for H , the length of the latus rectum is l and the…2025 · MCQ
  • Consider the hyperbola a2x2​−b2y2​=1 having one of its focus at P(−3,0). If the latus ractum through its other focus subtends a right angle at P and a2b2=α2​−β,α,β∈N…2025 · Numerical
  • Let e1 and e2 be the eccentricities of the ellipse b2x2​+25y2​=1 and the hyperbola 16x2​−b2y2​=1, respectively. If b < 5 and e1e2 = 1, then the eccentricity of the ellipse having its…2025 · MCQ
  • Let the lengths of the transverse and conjugate axes of a hyperbola in standard form be 2a and 2b, respectively, and one focus and the corresponding directrix of this hyperbola be (−5,0) and 5x+9=0, respectively. If the product…2025 · Numerical
  • Let the foci of a hyperbola be (1,14) and (1,−12). If it passes through the point (1,6), then the length of its latus-rectum is :2025 · MCQ
  • Let H1​:a2x2​− b2y2​=1 and H2​:− A2x2​+ B2y2​=1 be two hyperbolas having length of latus rectums 152​ and 125​…2025 · Numerical
  • For 0<θ<π/2, if the eccentricity of the hyperbola x2−y2cosec2θ=5 is 7​ times eccentricity of the ellipse x2cosec2θ+y2=5, then the value of θ is :2024 · MCQ
  • Consider a hyperbola H having centre at the origin and foci on the x-axis. Let C1​ be the circle touching the hyperbola H and having the centre at the origin. Let C2​ be the circle…2024 · MCQ