Question

Find the angle of intersection between the curves :

${y}^{2} = 4ax \: \: \: and \: \: \: {x}^{2} + {y}^{2} = {c}^{2}$

✔️✔️ quality Answer needed✔️✔️

❌❌NO SPAMMING❌❌​

Answer 1

Angle of intersection is the angle between the tangents at (0,0) on both the curves x^2=4y and y^2=4x

The tangent at (0,0) to x^2=4y is y=0(x-axis) and that to y^2=4x is x=0(y-axis)

So angle of intersection is simply 90 degrees.

Answer 2

Aɴɢʟᴇ ʙᴇᴛᴡᴇᴇɴ ᴛᴡᴏ ᴄᴜʀᴠᴇs. Lᴇᴛ ᴛʜᴇʀᴇ ʙᴇ ᴛᴡᴏ ᴄᴜʀᴠᴇs ʏ= ғ1(x) ᴀɴᴅ ʏ=ғ2(x) ᴡʜɪᴄʜ ɪɴᴛᴇʀᴀᴄᴛ ᴇᴀᴄʜ ᴏᴛʜᴇʀ ᴀᴛ ᴘᴏɪɴᴛ(x1.ʏ1). Iғ ᴡᴇ ᴅʀᴀᴡ ᴛᴀɴɢᴇɴᴛs ᴛᴏ ᴛʜᴇsᴇ ᴄᴜʀᴠᴇs ᴀᴛ ᴛʜᴇ ɪɴᴛᴇʀsᴇᴄᴛɪɴɢ  ᴘᴏɪɴᴛ ᴛʜᴇ ᴀɴɢʟᴇ ʙᴇᴛᴡᴇᴇɴ ᴛʜᴇsᴇ ᴛᴀɴɢᴇɴᴛs ɪs ᴄᴀʟʟᴇᴅ ᴛʜᴇ ᴀɴɢʟᴇ ʙᴇᴛᴡᴇᴇɴ ᴛᴡᴏ ᴄᴜʀᴠᴇs....

Pʟᴇᴀsᴇ ʀᴇғᴇʀ ᴛʜᴇ ᴀᴛᴛᴀᴄʜᴍᴇɴᴛ.....

✋✋ Fᴏʟʟᴏᴡ ᴍᴇ ✋✋