If y mx+4 is tangent to both the parabolas

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WebCorrect option is C) Parabolas y 2=4x and x 2=−32y y 2=4x⇒ a=1 x 2=−32y ⇒ −48y⇒ A=8 Here, lines are tangent y=mx+ ma y=mx+ m1........(1) for 1st parabola y=mx+am 2 y=mx+8m 2........(2) for 2nd parabola from (1) and (2) m1=8m 2 m 3= 81 m= 21=slope Hence this is the answer Was this answer helpful? 0 0 Similar questions Web11 jan. 2024 · If y = mx + 4 is common tangent to parabolas y2 = 4x and x2 = 2by. Then value of b is (1) -64 (2) -32 (3) -128 (4) 16 jee main 2024 Please log in or register to …

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WebIf y = mx + 4 is a tangent to both the parabolas, y^2 = 4x and x^2 = 2by, then b is equal to : asked Jan 22, 2024 in Mathematics by Sarita01 (54.2k points) jee main 2024; Welcome … WebIf y = mx+ 4 is a tangent to both the parabolas, y2 = 4x and x2 = 2by, then b is equal to : 1548 71 JEE Main JEE Main 2024 Conic Sections Report Error A -64 B 128 C -128 D -32 Solution: y = mx+ 4 is tangent to y2 = 4x ⇒ m = 41 y = 41x+4 is tangent to x2 = 2by ⇒ x2 − 2bx− 8b = 0 ⇒ D = 0 b2 +128b = 0 ⇒ b = −128,0 b = 0 ⇒ b = −128 samsung galaxy flex 2 alpha review

If y = mx + 4 is common tangent to parabolas y^2 = 4x and x

Web6 okt. 2024 · Now the general equation of any line is given by y = mx + c where m = slope and c = y-intercept. In this case, we know the slope is 8 and we also know one point i.e. (4, 16) lies on the line. Therefore, we can substitute all the above quantities to find the value of c. Knowing the value of m and c thus yields the equation of the line as. Web26 mrt. 2024 · Equation of tangent to the parabola of equation (1) in slope form is given by y = m x + a m It also touches to the parabola of equation (2), so substituting the value of y in equation (2), we get x 2 = 4 a ( m x + a m) Multiplying both sides by m, we get m x 2 = 4 a m 2 x + 4 a 2 Rearranging the terms, we get m x 2 − 4 a m 2 x − 4 a 2 = 0 WebEquation of the line is y = mx + c ---- (2) Solving above equations, x 2 = 4a(mx + c ) ⇒ x 2 - 4amx -4a c =0 which is a quadratic in x. If the given line is a tangent to the parabola, the … samsung galaxy flip 3 wireless charging

How to find common tangent of two parabolas? - Brainly.in

Two parabolas have the same vertex and equal length of latus

Web5 mei 2024 · 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 WebIf y=mx+4 is a tangent to both the parabolas, and then b is equal to : Option: 1 Option: 2 Option: 3 Option: 4 Browse by Stream Engineering and Architecture samsung galaxy flip 4 accessoriesWeb13 jul. 2024 · The equation of the tangent is: y = mx + a m. Calculation: We take above property of the tangent to a parabola without derivation. The answer is c = a m. … samsung galaxy flip 3 screen replacement

"WebQuestion: If $y=m x+4$ is a tangent to both the parabolas, $y^{2}=4 x$ and $x^{2}=2 b y$, then $b$ is equal to :128$-64$$-128$$-32$Correct Option: , 3 Solution: JEE Crash … " - If y mx+4 is tangent to both the parabolas

If y mx+4 is tangent to both the parabolas

If y = mx + 4 is a tangent to both the parabolas, y2 = 4x and x2

Web17 jul. 2024 · The line y = mx + 1 is the tangent to the parabola y2 = 4x. We need to find the value of m. Let us substitute the value in the equation of parabola. ⇒ (mx + 1)2 = 4x ⇒ m2x2 + 2mx + 1 = 4x ⇒ m2x2 + (2m - 4)x + 1 = 0 The quadratic will have similar roots if the line is tangent to the parabola. We know that, Weby = m x + 4 is a tangent to both the parabolas, y 2 = 4 x and x 2 = 2 b y. We know, Any tangent to the parabola y 2 = 4 ax is y = mx + a m. So, For parabola y 2 = 4 x, …

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Web50 mL of 0.2 M ammonia solution is treated with 25 mL of 0.2 M HCl. If pKb of ammonia solution is 4.75, the pH of the mixture will be : Option: 1 3.75 Option: 2 4.75 An ideal gas undergoes a quasi static, reversible process in which its molar heat capacity C … Web3 aug. 2011 · The tangent lines will go through the point right in between the vertices, which is (0, 2). This suggests that (0, 2) is the y-intercepts for both the tangent lines. If you plug everything into the equation for a tangent line at some point a and simplify it to the form y = mx + b, you will get b = 2.

WebIf y = mx + 4 is a tangent to both the parabolas y 2 = 4 x and x 2 = 2 b y, then b is equal to Moderate A -64 B -32 C -128 D 128 Solution The given line equation is y = mx+4 …. (i) … WebSuppose the line has the form $y=mx+d$ and the parabola is $y=ax^2+bx+c$. Equating, we have \[ ax^2+bx+c = mx+ d \ \implies \ ax^2+(b-m)x+(c-d)=0. \] This gives a quadratic …

WebHere you can find the meaning of If y = mx + 4 is common tangent to parabolas y2 = 4x and x2 = 2by. Then value of b isa)-64b)-32c)-128d)16Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If y = mx + 4 is common tangent to parabolas y2 = 4x and x2 = 2by. WebPoint form of a tangent to an ellipse; The equation of the tangent to an ellipse x 2 / a 2 + y 2 / b 2 = 1 at the point (x 1, y 1) is xx 1 / a 2 + yy 1 / b 2 = 1. Parametric form of a tangent to an ellipse; The equation of the tangent at any point (a cosɸ, b sinɸ) is [x / a] cosɸ + [y / b] sinɸ. Point of contact of the tangent to an ellipse

WebAnswer (1 of 7): Is there an x in your curve? It does not make since… So your curve is y=2 and y=-2 are your solutions which are flat lines. Since you don't have an x. So slope m is 0. Then y=1 is your solution line. What you should do is …

WebIf y = mx + 4 is a tangent to both the parabolas, y^2 =4x and x^2= 2by, then b is equal to: JEE MAINS Q 09 YEAR 2024 PARABOLA MATHEMATICQUESTION FROM - ... samsung galaxy flip 4 wireless chargerWebIntersection of lines and parabolas. In this section we investigate under what conditions a line and a parabola might meet in the plane. It is easy to see that there are three main cases to consider. A line may: intersect a parabola at two points; touch a parabola at one point (in this case we say the line is tangent to the parabola) samsung galaxy flip 4 reviews samsung galaxy flip 4 security tips \u0026 tricksWebSolve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. samsung galaxy flip 4 screen resolutionWebIf y = mx+4 is common tangent to parabolas, ya = 4x and x? = 2by. Then value of b is. A -64 B -32 C -128 D 16 Solution Verified by Toppr Was this answer helpful? 0 0 Similar questions The mirror image of the parabola y 2=4x in the tangent to the parabola at the point (1,2) is Hard View solution > samsung galaxy flip 4 screen sizeWebIf the line y = mx + a/m is a tangent line to the given parabolas y^2 = 4ax then it must cut the parabola at two coincident points . Solving the two eqns. for their points of intersection, we see that , samsung galaxy flip 4 black screenWeb3 jun. 2024 · How to find common tangent of two parabolas? Get the answers you need, now! yoyoqureshi1840 yoyoqureshi1840 04.06. ... Advertisement Brainly User Brainly User Answer: y2=4x has a tangent y=mx+1m Which is also tangent to x2=4y so this tangent passes through x2=4y ⇒x2=4(mx+1m) x2−4mx−4m=0 Roots of this equation is same as … samsung galaxy flip commercial actress