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Answer :

Let A(2,0),B(0,92)

Let A(2,0),B(0,92)and let mid-point be C(1,3p)

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=βŽβŽœβŽœβŽ›22+0,20+92⎠⎟⎟⎞

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=βŽβŽœβŽœβŽ›22+0,20+92βŽ βŽŸβŽŸβŽžβ‡’(1,3p)=(1,91)

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=βŽβŽœβŽœβŽ›22+0,20+92βŽ βŽŸβŽŸβŽžβ‡’(1,3p)=(1,91)Comparing y-coordinate

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=βŽβŽœβŽœβŽ›22+0,20+92βŽ βŽŸβŽŸβŽžβ‡’(1,3p)=(1,91)Comparing y-coordinate3p=91

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=βŽβŽœβŽœβŽ›22+0,20+92βŽ βŽŸβŽŸβŽžβ‡’(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=βŽβŽœβŽœβŽ›22+0,20+92βŽ βŽŸβŽŸβŽžβ‡’(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31We need to show that line 5x+3y+2=0 passes through point (βˆ’1,3p)

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=βŽβŽœβŽœβŽ›22+0,20+92βŽ βŽŸβŽŸβŽžβ‡’(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31We need to show that line 5x+3y+2=0 passes through point (βˆ’1,3p)Point =(βˆ’1,3p)=(βˆ’1,3Γ—31)=(βˆ’1,1)

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=βŽβŽœβŽœβŽ›22+0,20+92βŽ βŽŸβŽŸβŽžβ‡’(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31We need to show that line 5x+3y+2=0 passes through point (βˆ’1,3p)Point =(βˆ’1,3p)=(βˆ’1,3Γ—31)=(βˆ’1,1)Putting (βˆ’1,1) in line

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=βŽβŽœβŽœβŽ›22+0,20+92βŽ βŽŸβŽŸβŽžβ‡’(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31We need to show that line 5x+3y+2=0 passes through point (βˆ’1,3p)Point =(βˆ’1,3p)=(βˆ’1,3Γ—31)=(βˆ’1,1)Putting (βˆ’1,1) in line5x+3y+2=0

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=βŽβŽœβŽœβŽ›22+0,20+92βŽ βŽŸβŽŸβŽžβ‡’(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31We need to show that line 5x+3y+2=0 passes through point (βˆ’1,3p)Point =(βˆ’1,3p)=(βˆ’1,3Γ—31)=(βˆ’1,1)Putting (βˆ’1,1) in line5x+3y+2=0β‡’5(βˆ’1)+3(1)+2=0