Home
Class 12
MATHS
A(1,2) and B(7,10) are two given points...

A(1,2) and B(7,10) are two given points on the xy plane, for a point P(x,y) in the xy - plane such that `angleAPB=60^(@)`, area of the triangle APB is maximum , then P is lying on-

A

the straight line 3x+4y=36

B

the any line which is perpendicular on AB

C

the line which is perpendicular bisector of AB

D

the circle which is passing through (1,2) and (7,10) with radius 10 units.

Text Solution

Verified by Experts

The correct Answer is:
A,C
Promotional Banner

Topper's Solved these Questions

  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams B (Integer Answer Type)|5 Videos
  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams C (Matrix Match Type )|2 Videos
  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise EXERCISE 1 ( Long Type Questions )|26 Videos
  • RELATIONS

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion -Reason Type )|2 Videos
  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion-Reason type)|2 Videos

Similar Questions

Explore conceptually related problems

A (1,3) and B(7,5) are two points on xy plane .Find the equation of AB

Find the image of the point (3 , 2 , - 4) in the xy-plane

The distance of the point (a , b , c ) from xy - plane is _

A(1,2) and B (5,-2) are two given point on the xy-plane, on which C is such a moving point, that the numerical value of the area of Delta CAB IS 12 square unit. Find the equation to the locus of C.

Let A (-2,2)and B (2,-2) be two points AB subtends an angle of 45^@ at any points P in the plane in such a way that area of Delta PAB is 8 square unit, then number of possibe position(s) of P is

A and B are two fixed points on a plane and P moves on the plane in such a way that PA : PB = constant. Prove analytically that the locus of P is a circle.

If P be any point on the plane lx+my+nz=p and Q be a point on the line OP such that OP.OQ=p^(2) , then find the locus of the point Q.

S(sqrt(a^(2)-b^(2)),0)andS'(-sqrt(a^(2)-b^(2)),0) are two given points and P is a moving point in the xy - plane such that SP+S'P=2a . Find the equation to the locus of P.

Two tangents drawn at the point A and B on a circle intersect each other at the point P. If angle APB=60^(@), then anglePAB=

If P is any point on the plane l x+m y+n z=pa n dQ is a point on the line O P such that O P.O Q=p^2 , then find the locus of the point Qdot