Home
Class 14
MATHS
Let AB be a line segment such that a poi...

Let AB be a line segment such that a point P
on the locus satisfies `AB^(2)-AP^(2)-BP^(2)=0` .
What is the locus ?

A

the straight line AB itself

B

the perpendicular bisector of AB

C

a straight line parallel to AB

D

a circle

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

The locus of point z satisfying Re (z^(2))=0 , is

Let AB be a line segment of length 4 with A on the line y=2x and B on the line y=x .The locus of the middle point of the line segment is

Let vec(AB) and vec(AC) be two rays intersecting at A. Let D, E be the points lying on vec(AB), vec(AC) respectively and P be the point such that P divides the line DE such that PD: PE = AD:AE . What is the locus of the point P ?

Let ABCD be a square and let P be a point on AB such that AP:PB=1:2.ifangleAPD=theta , then what is the value of costheta ?

Point P divides the lne segment joning the points A (2,1) and B(5,-8) such that (AP)/(AB)=1/3 . If P lies on the line 2x - y + k = 0 , find the value of k

Point P divides the line segment joining the points A(-1,3) and B(9,8) such that (AP)/(BP) = (k)/(1) . If P lies on the line x - y + 2 = 0 , find k .

A line segment AB is 8 cm in length. AB is produced to P such that BP^(2)=AB.AP, find the length of BP.