Question
Tangent is drawn to ellipse 
at 
. Then the value of 
such that sum of intercepts on axes made by this tangent is minimum, is
The correct answer is:
The equation of tangent at given point is
Sum of the intercepts on axes is given by
Related Questions to study
The eccentricity of the conic 9x2 + 4y2 –30y = 0 is
The eccentricity of the conic 9x2 + 4y2 –30y = 0 is
AgNO3(aq.) was added to an aqueous KCl Solution gradually and the conductivity of the Solution was measured. The plot of conductance versus the volume of AgNO3 is
AgNO3(aq.) was added to an aqueous KCl Solution gradually and the conductivity of the Solution was measured. The plot of conductance versus the volume of AgNO3 is
Assertion: The molecularity of a reaction is a whole number other than zero, but generally less than 
Reason : The order of a reaction is always whole number.
Assertion: The molecularity of a reaction is a whole number other than zero, but generally less than
Reason : The order of a reaction is always whole number.
The distance of the point '' on the ellipse 
from a focus is –
an ellipse has 2 focii at (ae,0 ) and (-ae,0) when the center is (0,0) and the ellipse has the x axis as its major axis. an ellipse is defined as the locus of a point whose sum of the distances from 2 fixed points (focii) is constant.
The distance of the point '' on the ellipse from a focus is –
an ellipse has 2 focii at (ae,0 ) and (-ae,0) when the center is (0,0) and the ellipse has the x axis as its major axis. an ellipse is defined as the locus of a point whose sum of the distances from 2 fixed points (focii) is constant.
At 
will be [Assume that the concentration of hydroquinone and quinine is (1M)]
At will be [Assume that the concentration of hydroquinone and quinine is (1M)]
Statement-I : If a, b, c are three positive numbers in G.P., then 
Statement-II : (A.M.) (H.M.) = (G.M.)2 is true for any set of positive numbers.
The relation between AM, GM and HM of a sequence states that (AM)(HM)=GM2
Statement-I : If a, b, c are three positive numbers in G.P., then
Statement-II : (A.M.) (H.M.) = (G.M.)2 is true for any set of positive numbers.
The relation between AM, GM and HM of a sequence states that (AM)(HM)=GM2
Statement-I : If x2y3 = 6(x, y > 0), then the least value of 3x + 4y is 10
Statement-II : If m1, m2 
N, a1, a2 > 0 then 
and equality holds when a1 = a2.
the AM GM rule is valid for any set of natural numbers, i.e., numbers > 0.
Statement-I : If x2y3 = 6(x, y > 0), then the least value of 3x + 4y is 10
Statement-II : If m1, m2 N, a1, a2 > 0 then and equality holds when a1 = a2.
the AM GM rule is valid for any set of natural numbers, i.e., numbers > 0.
Statement-I : If a, b, c are three distinct positive number in H.P., then 
Statement-II : Sum of any number and it's reciprocal is always greater than or equal to 2.
when some numbers are in HP, then their reciprocals are in AP.
Statement-I : If a, b, c are three distinct positive number in H.P., then
Statement-II : Sum of any number and it's reciprocal is always greater than or equal to 2.
when some numbers are in HP, then their reciprocals are in AP.
Statement-I : In any ΔABC, maximum value of r1 + r2 + r3 =9R/2.
Statement-II : In any ΔABC, R ≥ 2r.
Statement-I : In any ΔABC, maximum value of r1 + r2 + r3 =9R/2.
Statement-II : In any ΔABC, R ≥ 2r.
Statement-I : If 27 abc ≥ (a + b + c)3 and 3a + 4b + 5c = 12 then 
where a, b, c are positive real numbers.
Statement-II : For positive real numbers A.M. ≥ G.M.
a,b,c are positive real numbers
=> AM>= GM can be applied to these numbers
for real and positive numbers, we can use the property AM>=GM
Statement-I : If 27 abc ≥ (a + b + c)3 and 3a + 4b + 5c = 12 then where a, b, c are positive real numbers.
Statement-II : For positive real numbers A.M. ≥ G.M.
a,b,c are positive real numbers
=> AM>= GM can be applied to these numbers
for real and positive numbers, we can use the property AM>=GM
Statement-I : Minimum value of 
Statement-II : The least value of a sin q + b cosq is 
Statement-I : Minimum value of
Statement-II : The least value of a sin q + b cosq is
At point of intersection of the two curves shown, the conc. of B is given by …….. For,
:
At point of intersection of the two curves shown, the conc. of B is given by …….. For,:
Following is the graph between log 
and log a (a 
initial concentration) for a given reaction at 27oC. Hence, order is
Following is the graph between log and log a (a initial concentration) for a given reaction at 27oC. Hence, order is
Statement-I : Circumradius and inradius of a triangle can not be 12 and 8 respectively.
Statement-II : Circumradius ≥ 2 (inradius)
The circumradius of a cyclic polygon is a radius of the circle inside which the polygon can be inscribed
inradius is the radius of the circle inscribed inside a polygon.
Statement-I : Circumradius and inradius of a triangle can not be 12 and 8 respectively.
Statement-II : Circumradius ≥ 2 (inradius)
The circumradius of a cyclic polygon is a radius of the circle inside which the polygon can be inscribed
inradius is the radius of the circle inscribed inside a polygon.
Statement-I : For n N, 2n > 1 + n 
Statement-II : G.M. > H.M. and (AM) (HM) = (GM)2
for real and positive numbers, we can use the property AM>=GM
the statement 2 doesn't have any connection with statement 1
Statement-I : For n N, 2n > 1 + n
Statement-II : G.M. > H.M. and (AM) (HM) = (GM)2
for real and positive numbers, we can use the property AM>=GM
the statement 2 doesn't have any connection with statement 1
