Home
Class 11
MATHS
In triangleABC, lfloor(A) = pi/4 and tan...

In `triangleABC, lfloor(A) = pi/4` and tanB.tanC= P, then all possible value of P is:

A

`(-infty,3-2sqrt(2)) cup (3+2sqrt(2), infty)`

B

`(-infty,3-2sqrt(2)) cup [3+2sqrt(2), infty)`

C

`(3-2sqrt(2),3+2sqrt(2))`

D

`[3-2sqrt(2),3+2sqrt(2)]`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Let A, B C be three angles such that A = pi/4 and tan B tan C = p . Set of all possible values of p such that A, B , C are angles of a triangle.

If a point (1,4) lies inside the circle x^(2) +y^(2) - 6x -10 y +p=0 and the circle does not touch or intersect the coordinate axes , then the set of all possible values of p is the interval.

The perpendicular bisector of the line segment joining P(1, 4) and Q(k, 3) has y-intercept -4. Then a possible value of k is

If a and x are positive integers such that x lt a and sqrt(a - x ), sqrt(x), sqrt(a + x) are in A.P , then least possible value of a is

Let A denote the plane consisting of all poins that are equdistant from the points P (-4,2,1) and Q(2, -4, 3) and B be the plane x - y + cz = 1 where c in R If the angle between the planes A and B is 45^(@) then the product of all possible values of c is

If three positive real numbers a,b, c are in A.P such that abc = 4, then the minimum possible value of b is

If x^(2) + 2px - 2p + 8 gt 0 for all real values of x, then the set of all possible values of p is

If P(t) = t^4-1 then find the value of P(-6) .