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Grade 12Analytical Geometry

the length of the portion of the normal at (1,1) to the parabola x^2=y intercepted between the axes is?

Profile image of vamsi
9 Years agoGrade 12
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1 Answer

Profile image of Vikas TU
8 Years ago
Dear Student,
equation of normal is given by (y-1) =( -1/2) ( x-1)
     x+ 2y -3 = 0
X intercept = 3 ; y intercept = 3/2
Length of portion intercepted = √3^2 + (3/2)^2 = 3√5/ 2 
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)