Home
Class 12
MATHS
Number of values of alpha such that the ...

Number of values of `alpha` such that the points `(alpha,6),(-5,0)` and (5,0) form an isosceles triangle is

A

4

B

5

C

6

D

7

Text Solution

Verified by Experts

The correct Answer is:
B
We have `A(alpha,6), B(-5,0)` and `C(5,0)`
If `AB =AC`, we get `alpha = 0`. Hence, we get one value of c If `AC = BC`, we get `alpha = - 3,13`
`alpha` can take 5 units: `0,3,-3,13,-13`
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEM

    CENGAGE PUBLICATION|Exercise Comprehension Type|4 Videos

  • COORDINATE SYSTEM

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|2 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    CENGAGE PUBLICATION|Exercise All Questions|238 Videos

  • COORDINATE SYSYEM

    CENGAGE PUBLICATION|Exercise JEE Main|6 Videos

Similar Questions

Explore conceptually related problems

Show that the points (3,0),(6,4) and (-1,3) are the vertices of a right angled isosceles triangle.

Find the values of alpha such that the variable point (alpha, "tan" alpha) lies inside the triangle whose sides are y=x+sqrt(3)-(pi)/(3), x+y+(1)/(sqrt(3))+(pi)/(6) = 0 " and " x-(pi)/(2) = 0

The only integral value of alpha , such that the point P(alpha,2) lines inside the triangle formed by the axis, x + y = 4 and x - y = 4 is :

Find the values of alpha so that the point P(alpha^2,alpha) lies inside or on the triangle formed by the lines x-5y+6=0,x-3y+2=0a n dx-2y-3=0.

Detemine all values of alpha for which the point (alpha, alpha^(2)) lines inside the triangle formed by the lines 2x+3y-1=0, x+2y-3=0 and 5x-6y-=1

Show that the points (0,7,10), (-1,6,6) and (-4,9,6) are the vertices of a right angled isosceles triangle.

Prove that the triangle formed by joining the points ( 2 , 3 , - 1) , ( 4 , 5 , 0) , ( 2 , 6 , 2) is and isosceles triangle .

Prove that the triangle formed by joining the points ( - 4 , 9 , 6) , ( 0,7,10) , ( - 1 , 6 , 6 ) is an isosceles right angled triangle.

If the extremities of the base of an isosceles triangle are the points (2a ,0) and (0, a), and the equation of one of the side is x=2a , then the area of the triangle is

If 0 < alpha < pi/ 6 then alpha(cosec alpha) is