Home
Class 12
MATHS
P (2 , k) is on the ellipse x^(2) + 2y^(...

P (2 , k) is on the ellipse `x^(2) + 2y^(2) = 6 ` . For what value of k the point P is nearest to the line x + y = 7 ?

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (D comprehension Type)|7 Videos

  • ELLIPSE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams ( A M . C . Q )|5 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

  • GENERAL SOLUTIONS OF TRIGNOMETRIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type-|2 Videos

Similar Questions

Explore conceptually related problems

Lines x + y = 1 and 3y = x + 3 intersect the ellipse x^(2) + 9y^(2) = 9 at the points P , Q , R . The area of the triangle PQR is _

Let the foci of the ellipse (x^(2))/(9) + y^(2) = 1 subtend a right angle at a point P . Then the locus of P is _

Let P be a point on the hyperbola x^2-y^2=a^2, where a is a parameter, such that P is nearest to the line y=2xdot Find the locus of Pdot

The straigth line y = 2t^(2) intesects the ellipse (x^(2))/(9)+(y^(2))/(4) = 1 at a real points if |t| le k then the value of k is _

Let P be a point on the ellipse (x^(2))/(16) + (y^(2))/(9) = 1 . If the distance of P from centre of the ellipse be equal with the average value of semi major axis and semi minor axis, then the coordinates of P is _

The line x =2 y intersects the ellipse (x^(2))/(4) +y^(2) = 1 at the points P and Q . The equation of the circle with pq as diameter is _

Find the distance of the point on y=x^4+3x^2+2x which is nearest to the line y=2x-1

Find the point of the circle x^(2)+y^(2)-6x+4y=0 which is (i) nearest (ii) farthest to the line 2x-3y+14=0 .

If the equation of the tangent to the circle x^(2) + y^(2) - 2x + 6y - 6 =0 parallel to the line 3x - 4y +7 =0 is 3x - 4y +k=0 , then the value of k is-