Focal chord of y 2 16x is a tangent

Author: aofv

August undefined, 2024

WebSOLUTION. Here, the focal chord of y2 =16x is tangent to circle (x−6)2+y2 = 2. ⇒ Focus of parabola as (a,0) i.e. (4,0) Now, tangents are drawn from (4,0) to (x−6)2+y2 = 2. Since, P … WebFocal chord to y 2=16 x is tangent to x 62+ y 2=2 then the possible values of the slopes of this chords,areA. 1,1B. 2,2C. 2, 1/2D. 2, 1/2 Question Focal chord to y 2 = 16 x i s t a n g e n t t o ( x − 6 ) 2 + y 2 = 2 then the possible values of the slopes of this chord(s),are

Focal chord to y 2=16 x is tangent to x 62+ y 2=2 then the …

WebJan 23, 2024 · Here, the focal chord to y2 =16x is tangent to circle (x−6)2+y2 =2 ⇒ focus of the parabola is (4,0) Now, tangent are drawn from (4,0) to (x−6)2+y2=2 Since, P A is tangent to circle and equals to 2 , (from diagram using distance formula) tanθ= slope of tangent =AP AC = 2 2 =1 or tanθ =BP BC =−1 ∴ Slope of focal chord as tangent to … WebDec 23, 2024 · The tangent to the Parabola that is parallel to y=4x+1 is: y = 4x+5/16 Which meets the Parabola at the coordinate: (5/64,5/8) We have a parabola given by: y^2=5x graph{y^2=5x [-5, 5, -5, 5]} The gradient of the tangent to a curve at any particular point is given by the derivative of the curve at that point. So if we differentiate the parabola … cistanche for diabetes

The focal chord of \( y^{2}=16 x \) is tangent to \( \mathrm{P ...

WebMar 14, 2024 · It is given that the focal chord is tangent to the circle which means that the distance of the focal chord from the center of the circle is equal to the radius of the circle. Therefore, we get m x − y − 4 m 1 + m 2 = 2 Now we will put the value of x = 6 and y = 0 in the above equation, we get ⇒ 6 m − 0 − 4 m 1 + m 2 = 2 WebA chord which passes through the focus of a parabola is called a focal chord. A given chord will be a focal chord if the point \((0,a)\) lies on it. Substituting these coordinates into the equation of the chord above we have ... and substituting \(x=2ap\). In either case, the gradient of the tangent to \(x^2=4ay\) at the point \(P(2ap,ap^2 ... WebT is a point on the tangent to a parabola y 2 = 4ax at its point P. TL and TN are the perpendiculars on the focal radius SP and the directrix of the parabola respectively. Then. A. SL = 2 (TN) B. 3 (SL) = 2 (TN) C. ... Let PSQ be the focal chord of … cistanche herba

Focal chord to y2=16x is tangent to x−62+y2=2 then the

The focal chord to y2 = 16x is tangent to (x – 6)2 + y2 = 2, then …

WebQ.3 Find the equations of the tangents to the parabola y2 = 16x, which are parallel ... y = 2x + 1 (C) 2y = x + 8 (D) y = x + 2 Q.10(a) The slope of the focal chords of the parabola y2 = 16x which are tangents to the circle (x ... [ JEE 2003 (Scr.)] Q.6 The line 2x + 6 y = 2 is a tangent to the curve x2 – 2y2 = 4. The point ... WebJan 23, 2024 · Solution For The focal chord to y2=16x is tangent to (x−6)2+y2=2, then the possible values of the slope of this chord, are The world’s only live instant tutoring platform. About Us Become a Tutor. Filo instant Ask button for chrome browser. Now connect to a tutor anywhere from the web ... cistanche hubermanWebMar 14, 2024 · Consider a parabola y 2 = 4 a x , parameterize it as x = a t 2 and y = 2 a t, then it is found that if we have a line segment passing through focus, with each points having value of t as t 1 and t 2 for the parameterization, then it must be that: t 1 ⋅ t 2 = − 1 Hope for hints. conic-sections Share Cite Follow edited Mar 14, 2024 at 15:05 diamond valley lake charter fishing

"WebA: Here, Circle with center O is having tangents JK, KL and JL. so JA¯≅JB¯ ⇒JA=JB (tangent to circle… question_answer Q: Find the surface area of the cone in terms of it. " - Focal chord of y 2 16x is a tangent

Focal chord of y 2 16x is a tangent

Now, we will pick the conic named parabola and study in …

WebIf the fotal chord y = mx + c of parabola y^2=-64x is also the tangent to the circle 〖(x+10)〗^2+y^2=4 then absolute value of 4√2(m+c) is (a) 31(b) 32(c... WebJun 27, 2016 · Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site

Did you know?

WebFocal chord to y 2 = 16 x i s t a n g e n t t o (x − 6) 2 + y 2 = 2 then the possible values of the slopes of this chord(s),are Q. The focal chord to y 2 = 16 x is tangent to ( x − 6 ) 2 + y 2 = 2 , then the possible values of the slope of this chord are WebThe focal chord of \( y^{2}=16 x \) is tangent to\( \mathrm{P} \) \( (x-6)^{2}+y^{2}=2 \). Then the possible values of theW slope of this chord are:(1) \( 1,...

WebLet P Q be a variable focal chord of the parabola y 2 = 4 a x where vertex is A. Locus of , ... The value λ such that line y = x + λ is tangent to the parabola y 2 = 8 x. Hard. View solution > P Q is a variable focal chord of the parabola y 2 = 4 a x whose vertex is A. WebClick here👆to get an answer to your question ️ The focal chord to y ^ 2 = 16 x is tangent to ( x - 6 ) ^ 2 + y ^ 2 = 2 then the possible values of the slope of this chord are Solve Study Textbooks Guides

WebJan 11, 2024 · The focal chord to `y^2=16x` is tangent to `(x-6)^2+ y^2 =2` then the possible values of the slope of this chord asked Nov 15, 2024 in Parabola by kundansingh ( 95.2k points) class-12 WebMay 6, 2016 · Question: Prove that the directrix is tangent to the circles that are drawn on a focal chord of a parabola as diameter. ... Prove that in a parabola the tangent at one end of a focal chord is parallel to the normal at the other end. 0.

WebHere, the focal chord of y 2 = 16 x is tangent to circle (x − 6) 2 + y 2 = 2 ⇒ Focus of parabola as (a, 0) i.e. (4, 0) Now, tangents are drawn from (4, 0) to (x − 6) 2 + y 2 = 2. Since, P A is tangent to circle. ∴ t a n θ = slope of tangent = A C A P = √ 2 √ 2 = 1, or B C B P = − 1. ∴ Slope of focal chord as tangent to circle ...

WebFocal chord of the parabola is tangent to the circle (x − 6) 2 + y 2 = 2. 2 and ( 6 , 0 ) are radius and centre of the circle As radius is perpendicular to the tangent, we have length of tangent from ( 4 , 0 ) to the circle is = 2 . diamond valley lake boat rental costWebJan 11, 2024 · The focal chord to y^2 = 16 x is tangent to (x - 6)^2 + y^2 = 2 , then the possible value of the slope of this chord, are. ← Prev Question Next Question →. 0 … cistanche long termWebMay 20, 2024 · The equation of common tangent to the curves y^2 = 16x and xy = –4, is : ... If one end of a focal chord of the parabola, y^2 = 16x is at (1, 4), then the length of this focal chord is : asked May 18, 2024 in Mathematics by Jagan (21.2k points) jee mains 2024; 0 votes. 1 answer. cistanche mechanism of actionWebThe equation of a common tangent to the curves, y 2=16x and xy=−4 is A x+y+4=0 B x−2y+16=0 C 2x−y+2=0 D x−y+4=0 Medium Solution Verified by Toppr Correct option is D) Step 1: Use slope form of tangent equation of parabola Equation of tangent to parabola y 2=4ax in terms of slope ’m’ is y=mx+ ma cistanche for menWebThe focal chord to y2 = 16x is tangent to (x – 6)2 + y2 = 2, then the possible values of the slope of this chord, are (2003S)a){–1, 1}b){–2, 2}c){–2, –1/2}d){2, –1/2}Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE ... diamond valley lake fire diamond valley lake ca weatherWebApr 10, 2024 · Even by your method where it seems you are first finding equation of tangent to the circle and equating it to the focal chord, Given the equation of the circle, taking … cistanche other names