88372 A line, with the slope greater than one, passes through the point \(A(4,3)\) and intersects the line \(x-y-2=0\) at the point \(B\). If the length of the line segment \(A B\) is \(\frac{\sqrt{29}}{3}\), then \(B\) also lies on the line :

88373 If a square \(A B C D\) where \(A(0,0), B(2,0), C(2,2)\), \(D(0,2)\) undergoes the following transformations successively. then the final figure would be a
\(\left.\overline{\text { (i) } \mathbf{f}_{\mathbf{1}}(\mathrm{x}}, \mathrm{y}\right) \rightarrow(\mathrm{y}, \mathbf{x})\);
(ii) \(f_{2}(x, y) \rightarrow(x+3 y, y)\);
(iii) \(f_{3}(x, y) \rightarrow\left(\frac{x-y}{2}, \frac{x+y}{2}\right)\)

88374 If the slope of the line \(a x+(3-a) y+7=0\) is 7 then the value of integral part of ' \(a\) ' is

88375 Let \(A\) and \(B\) be two distinct points on the parabola \(y^{2}=4 x\). If the axis of the parabola touches a circle of radius 2 having \(A B\) as its diameter, then the slope of the line joining \(A\) and \(B\) can be

88372 A line, with the slope greater than one, passes through the point \(A(4,3)\) and intersects the line \(x-y-2=0\) at the point \(B\). If the length of the line segment \(A B\) is \(\frac{\sqrt{29}}{3}\), then \(B\) also lies on the line :

88373 If a square \(A B C D\) where \(A(0,0), B(2,0), C(2,2)\), \(D(0,2)\) undergoes the following transformations successively. then the final figure would be a
\(\left.\overline{\text { (i) } \mathbf{f}_{\mathbf{1}}(\mathrm{x}}, \mathrm{y}\right) \rightarrow(\mathrm{y}, \mathbf{x})\);
(ii) \(f_{2}(x, y) \rightarrow(x+3 y, y)\);
(iii) \(f_{3}(x, y) \rightarrow\left(\frac{x-y}{2}, \frac{x+y}{2}\right)\)

88374 If the slope of the line \(a x+(3-a) y+7=0\) is 7 then the value of integral part of ' \(a\) ' is

88375 Let \(A\) and \(B\) be two distinct points on the parabola \(y^{2}=4 x\). If the axis of the parabola touches a circle of radius 2 having \(A B\) as its diameter, then the slope of the line joining \(A\) and \(B\) can be

88372 A line, with the slope greater than one, passes through the point \(A(4,3)\) and intersects the line \(x-y-2=0\) at the point \(B\). If the length of the line segment \(A B\) is \(\frac{\sqrt{29}}{3}\), then \(B\) also lies on the line :

88373 If a square \(A B C D\) where \(A(0,0), B(2,0), C(2,2)\), \(D(0,2)\) undergoes the following transformations successively. then the final figure would be a
\(\left.\overline{\text { (i) } \mathbf{f}_{\mathbf{1}}(\mathrm{x}}, \mathrm{y}\right) \rightarrow(\mathrm{y}, \mathbf{x})\);
(ii) \(f_{2}(x, y) \rightarrow(x+3 y, y)\);
(iii) \(f_{3}(x, y) \rightarrow\left(\frac{x-y}{2}, \frac{x+y}{2}\right)\)

88374 If the slope of the line \(a x+(3-a) y+7=0\) is 7 then the value of integral part of ' \(a\) ' is

88375 Let \(A\) and \(B\) be two distinct points on the parabola \(y^{2}=4 x\). If the axis of the parabola touches a circle of radius 2 having \(A B\) as its diameter, then the slope of the line joining \(A\) and \(B\) can be

88372 A line, with the slope greater than one, passes through the point \(A(4,3)\) and intersects the line \(x-y-2=0\) at the point \(B\). If the length of the line segment \(A B\) is \(\frac{\sqrt{29}}{3}\), then \(B\) also lies on the line :

88373 If a square \(A B C D\) where \(A(0,0), B(2,0), C(2,2)\), \(D(0,2)\) undergoes the following transformations successively. then the final figure would be a
\(\left.\overline{\text { (i) } \mathbf{f}_{\mathbf{1}}(\mathrm{x}}, \mathrm{y}\right) \rightarrow(\mathrm{y}, \mathbf{x})\);
(ii) \(f_{2}(x, y) \rightarrow(x+3 y, y)\);
(iii) \(f_{3}(x, y) \rightarrow\left(\frac{x-y}{2}, \frac{x+y}{2}\right)\)

88374 If the slope of the line \(a x+(3-a) y+7=0\) is 7 then the value of integral part of ' \(a\) ' is

88375 Let \(A\) and \(B\) be two distinct points on the parabola \(y^{2}=4 x\). If the axis of the parabola touches a circle of radius 2 having \(A B\) as its diameter, then the slope of the line joining \(A\) and \(B\) can be