Home
Class 12
MATHS
If (mr , 1/mr), r = 1, 2, 3, 4 are concy...

If `(m_r , 1/m_r), r = 1, 2, 3, 4` are concyclic points and `f(x) = x`, when `x` is rational `= 1 - x`, when `x` is irrational and `a` is a point where `f(x)` is continuous, then `m_1 m_2 m_3 m_4 =` (A) `a` (B) `2a` (C) `-2a` (D) none of these

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

If (m_i,1/m_i),i=1,2,3,4 are concyclic points then the value of m_1m_2m_3m_4 is

If f (x)= [{:(x,,, "if x is rational"), (1-x,,," if x is irrational "):}, then number of points for x in R, where y =f (f (x)) discontinous is:

If (m_(i),1//m_(i)), i=1,2,3,4 are concyclic points, then the value of m_(1)m_(2)m_(3)m_(4)" is"

If y=sin(m\ sin^(-1)x) , then (1-x^2)y_2-x y_1 is equal to m^2y (b) m y (c) -m^2y (d) none of these

If the transversal y=m_r ​ x; r=1, 2, 3 cut off equal intercepts on the transversal x+y=1 then 1+m_1 ​ , 1+m_2 ​ , 1+m_3 ​ are in (a) A.P. (a) G.P. (a) H.P. (a) None of these

f(1)=1 and f(n)=2sum_(r=1)^(n-1) f (r) . Then sum_(n=1)^mf(n) is equal to (A) 3^m-1 (B) 3^m (C) 3^(m-1) (D)none of these

Let f(x)=lim_(m->oo){lim_(n->oo)cos^(2m)(n !pix)}, where x in Rdot Then prove that f(x)={1, if x is rational and 0, if x is irrational

If y=m x+c touches the parabola y^2=4a(x+a), then (a) c=a/m (b) c=a m+a/m c=a+a/m (d) none of these

If lim_(xrarr2) (2x^2-4f(x))/(x-2) =m, where f(2)=2, f'(2)=1, then cosec 10^@-sqrt(3)sec10^@ is (A) 3m (B) 2m (C) m (D) none of these

If ( m_r , 1/m_r ) where r=1,2,3,4, are four pairs of values of x and y that satisfy the equation x^2+y^2+2gx+2fy+c=0 , then the value of m_1. m_2. m_3. m_4 is a. 0 b. 1 c. -1 d. none of these