22. A straight line is drawn from the point(1,0) to the curve x^{2}+y^{2}+6x-10y+1=0, such that the intercept made on it by the curve subtends a right angle at the origin. Find the equations of the line.

**23.** Determine the range of values of φ ε [0,2λ] for which the point (cosθ,sinθ) lies inside the triangle formed by the lines x+y =2; x-y=1 & 6x+2y-√10=0.

3. Show that all the chords of the curve 3x^{2}-y^{2}-2x+4y=0 which subtend a right angle at the origin are cincurrent. Does this result also hold for the curve, 3x^{2}+3y^{2}-2x+4y=0? if yes, what is the point of concurrency & if not, give reasons.

4. The coordinates of the vertices of a quadrilateral are A(0,0); B(16,0),C(8,8),D(0,8). Find the equation of the line parallel to AC that halves the area of the quadrilateral in the form of y=mx+c.