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[" If there exist exactly one pt on the "],[" line "3x+4y+25=0," From which "],[" perpendicular tangents can be "],[" drawn to ellipse "(x^(2)+y^(2)=1,(a>1))/(a^(2))" then "],[" eccentricity = "]

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If there exists exactly one point of the line 3x+4y+25=0 from which perpendicular tangesnt can be brawn to ellipse (x^(2))/(a^(2))+y^(2)=1(agt1) ,

If there exists exactly one point of the line 3x+4y+25=0 from which perpendicular tangesnt can be brawn to ellipse (x^(2))/(a^(2))+y^(2)=1(agt1) ,

Statement 1: If there is exactly one point on the line 3x+4y+5sqrt(5)=0 from which perpendicular tangents can be drawn to the ellipse (x^(2))/(a^(2))+y^(2)=1,(a>1), then the eccentricity of the ellipse is (1)/(3). Statement 2: For the condition given in statement 1,the given line must touch the circle x^(2)+y^(2)=a^(2)+1

Statement 1 : If there is exactly one point on the line 3x+4y+5sqrt(5)=0 from which perpendicular tangents can be drawn to the ellipse (x^2)/(a^2)+y^2=1,(a >1), then the eccentricity of the ellipse is 1/3dot Statement 2 : For the condition given in statement 1, the given line must touch the circle x^2+y^2=a^2+1.

Statement 1 : If there is exactly one point on the line 3x+4y+5sqrt(5)=0 from which perpendicular tangents can be drawn to the ellipse (x^2)/(a^2)+y^2=1,(a >1), then the eccentricity of the ellipse is 1/3dot Statement 2 : For the condition given in statement 1, the given line must touch the circle x^2+y^2=a^2+1.

Number of points from where perpendicular tangents can be drawn to the curve (x^(2))/(16)-(y^(2))/(25)=1 is

Number of points from where perpendicular tangents can be drawn to the curve x^(2)/(16)- y^(2)/(25)=1 is

Two perpendicular tangents drawn to the ellipse (x^(2))/(25)+(y^(2))/(16)=1 intersect on the curve.

Two perpendicular tangents drawn to the ellipse (x^2)/(25)+(y^2)/(16)=1 intersect on the curve.