WebbMath Calculus find the volume . The base of the solid is the region bounded by the parabola y2 = 4x and the line x = 1 in the xy-plane. Each cross-section perpendicular to the x-axis is an equilateral triangle with one edge in the plane. (The triangles all lie on the same side of the plane.) find the volume . Webb5 nov. 2024 · Circle drawn having its diameter equal to the focal distance of any point lying on the parabola `x^2-4x+6y+10=0` will touch a fixed line. Find its equ asked Jan 20, 2024 in Parabola by AnantSharma ( 90.9k points)
Consider the circle C: x2+y2 6 y+4=0 and the parabola P: y2=x …
WebbThe center of a circle represented by the equation (x + 9)2 + (y − 6)2 = 102 is. (-9,6) In the diagram, a circle centered at the origin, a right triangle, and the Pythagorean theorem are used to derive the equation of a circle, x2 + y2 = r2. Webb13 juni 2016 · Using the tangent equations here we have: Parabola: y2 = 4x Tangent at P(p2, 2p): y ⋅ 2p = 2(x + p2) ⇒ x − py + p2 = 0 For this line to be a tangent to the circle x2 + y2 = 1 2, its distance from (0, 0) must equal the radius of the circle 1 √2. p2 √12 + p2 = 1 √2 2p4 − p2 − 1 = 0 (2p2 + 1)(p2 − 1) = 0 ∵ p2 > 0 ∴ p2 = 1 p = ± 1 fitsteps website
x^2+6y^2+5xy-4x-174-45 lösen Microsoft-Matheproblemlöser
Webb26 sep. 2024 · IIT JEE CONIC SECTIONS The parabola `y^2=4x` and the circle having its center at (6, 5) intersec... 1,752 views Sep 26, 2024 12 Dislike Doubtnut 2.18M subscribers This is the Solution of... Webb16 mars 2024 · Misc 18 The area of the circle 𝑥2+𝑦2 = 16 exterior to the parabola 𝑦2=6𝑥 is (A) 43 (4𝜋− 3 ) (B) 43 (4𝜋+ 3) (C) 43 (8𝜋− 3) (D) 43 (8𝜋+ 3) Step 1: Draw the Figure 𝑥2+𝑦2 = 16 𝑥2+𝑦2= 42 It is a circle with center 0 , … Webb5 apr. 2024 · Hint: Observe the given curve \[{{x}^{2}}+{{y}^{2}}-24y+128=0\], it is the equation of a circle. Compare with the standard equation of circle and find out the centre and radius of the given circle. Next find the parametric point on the given parabola and find the equation of normal from this point on the given parabola. can i do internship in first year