Tangents and Normals

JEE Main Mathematics · Applications of Derivatives · 3 questions, latest first

• Let the quadratic curve passing through the point (-1,0) and touching the line y=x at (1,1) be y=f(x). Then the x -intercept of…202310 April, Shift 2 · Q25
• The number of points on the curve y=54 x^5-135 x^4-70 x^3+180 x^2+210 x at which the normal lines are parallel to x+90 y+2=0 is:202330 January, Shift 1 · Q68
• If the equation of the normal to the curve y=(x-a)/((x+b)(x-2)) at the point (1,-3) is x-4 y=13, then the value of a+b is equal…202329 January, Shift 2 · Q87