Home
Class 12
MATHS
If the angle between the tangents at (1,...

If the angle between the tangents at (1,0) and (6,0) to the curve `y=x^(2)-7x +6` is `tan^(-1)((m)/(n))`, then ||n| - |m|| =.
(Given that G.C.D.of (m, n) = 1)

Text Solution

Verified by Experts

The correct Answer is:
`7.00`
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 47

    NTA MOCK TESTS|Exercise MATHEMATICS (SUBJECTIVE NUMERICAL)|10 Videos
  • NTA TPC JEE MAIN TEST 46

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos
  • NTA TPC JEE MAIN TEST 48

    NTA MOCK TESTS|Exercise MATHEMATICS|29 Videos

Similar Questions

Explore conceptually related problems

If the acute angle between the tangents drawn from (0,1) to the graph of f(x)=x^(3)-3x^(2)+3x is tan^(-1)((m)/(n)) where m, n are relatively prime natural numbers. Then the value of m+n is

If the angle between the two lines represented by 2x^(2)+5xy+3y^(2)+6x+7y+4=0 is tan^(-1)(m) , then m is equal to

If the angle between the two lines represented by 2x^(2)+5xy+3y^(2)+6x+7y+4=0 is tan^(-1)(m), then find the value of m.

The angle between the two lines 1x+my+n=0 and 1'x+m'y+n'=0 is given by tan^(-1) theta . What theta equal to ?

If m is the slope of a tangent to the curve e^(y)=1+x^(2), then |m|>1quad (b) m>1m>-1( d )|m|<=1

If I(m,n)=int_(0)^(1)x^(m-1)(1-x)^(n-1)dx, then

If the angle theta between the line (x+1)/(1)=(y-1)/(2)=(z-2)/(2) and the plane 2x-y+sqrt(lambda)z+4=0 is such that sin theta=(1)/(3) ,if lambda=(m)/(n) then m+n is (m, n) are relatively prime)

Find the acute angle between the lines (x-1)/(l)=(y+1)/(m)=(1)/(n) and =(x+1)/(m)=(y-3)/(n)=(z-1)/(l) where l>m>n, and l,m,n are the roots of the cubic equation x^(3)+x^(2)-4x=4