Consider a curve `C : y=cos^(-1)(2x-1)` and a straight line `L :2p x-4y+2pi-p=0.` Statement 1: The set of values of `p` for which the line `L` intersects the curve at three distinct points is `[-2pi,-4]dot` Statement 2: The line `L` is always passing through point of inflection of the curve `Cdot`

The centre of the circule passing through the points of intersection of the curves (2x+3y+4)(3x+2y-1)=0 and xy=0 is

A line L passing through the focus of the parabola y^2=4(x-1) intersects the parabola at two distinct points. If m is the slope of the line L , then -1 1 m in R (d) none of these

A line L passing through the focus of the parabola y^2=4(x-1) intersects the parabola at two distinct points. If m is the slope of the line L , then (a) -1 1 (c) m in R (d) none of these

Find the area bounded by the curve y=sin^(-1)x and the line x=0,|y|=pi/2dot

Find the area bounded by the curve y=sin^(-1)x and the line x=0,|y|=pi/2dot

The tangent to the curve y=x^2-5x+5. parallel to the line 2y=4x+1, also passes through the point :

The line 5x + 4y = 0 passes through the point of intersection of straight lines (1) x+2y-10 = 0, 2x + y =-5

Consider: L_1:2x+3y+p-3=0 L_2:2x+3y+p+3=0 where p is a real number and C : x^2+y^2+6x-10 y+30=0 Statement 1 : If line L_1 is a chord of circle C , then line L_2 is not always a diameter of circle Cdot Statement 2 : If line L_1 is a a diameter of circle C , then line L_2 is not a chord of circle Cdot (A) Both the statement are True and Statement 2 is the correct explanation of Statement 1. (B) Both the statement are True but Statement 2 is not the correct explanation of Statement 1. (C) Statement 1 is True and Statement 2 is False. (D) Statement 1 is False and Statement 2 is True.

The slope of the tangent at (x , y) to a curve passing through (1,pi/4) is given by y/x-cos^2(y/x), then the equation of the curve is

Statement 1: The point of intersection of the tangents at three distinct points A , B ,a n dC on the parabola y^2=4x can be collinear. Statement 2: If a line L does not intersect the parabola y^2=4x , then from every point of the line, two tangents can be drawn to the parabola.