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If y mx+4 is tangent to both the parabolas

WebIf a line, y=mx+c is a tangent to the circle, (x−3) 2+y 2=1 and it is perpendicular to a line L 1, where L 1 is the tangent to the circle, x 2+y 2=1 at the point ( 21, 21); then: A c 2−7c+6=0 B c 2+6c+7=0 C c 2+7c+6=0 D c 2−6c+7=0 Medium Solution Verified by Toppr Correct option is B) From Question ;

If y = mx + 4 is a tangent to both the parabolas y 2 = 4 x and x 2 …

Web13 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. Additional Information: Conic Sections: Parabola: The equation of the tangent to the parabola y 2 = 4ax, at a point (x 1, y 1 ), is given by: yy 1 = 2a (x + x 1 ). 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 trend tool https://ewcdma.com

If the line y = mx + 1 is tangent to the parabola y^2 = 4x

Web23 mrt. 2024 · Hint: To find the locus of point of intersection of tangents to the two parabolas which are perpendicular to each other, write the equation of tangents in slope form and solve them to find the locus of their point of intersection. 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, 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 temporary defensive barrier

If a line, y = mx + c is a tangent to the circle, ( x - 3 )^2 - Toppr

Category:If a line, y = mx + c is a tangent to the circle, ( x - 3 )^2 - Toppr

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If y mx+4 is tangent to both the parabolas

If the line y = mx + c is a common tangent to the hyperbola

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 … WebIf 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 >

If y mx+4 is tangent to both the parabolas

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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 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

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 … WebIf 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 ,

Web6 jul. 2024 · JEE MAINS 2024, (7th jan,1st shift) if y=mx+4 is a tangent to both the parabolas, y^2=4x and x^2=2by - YouTube This channel is basically for IIT JEE … 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.

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) …

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 … temporary delivery driver jobsWeby = 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, … temporary deleted itemsWeb3 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. temporary delivery jobsWebSuppose 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 … trend tool and bit cleanerWebEquation 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 … trend toolbar for microsoft edge とは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 … trend toolbar edgeWebYou can plug any known point into the equation y = mx +b to find b. Using the point (x1,y1) that you used in finding m, you have \begin {equation} b = y_1 - mx_1 \end {equation} where m is ... Straight line is tangent to the curve. If line y = mx +1 is a tangent to F (x,y)= 0, where F (x,y) is a polynom of degree 2, then F (x,mx+1) = 0 have ... trend toolbar for microsoft edge