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A triangle A B C with fixed base B C , t...

A triangle `A B C` with fixed base `B C` , the vertex `A` moves such that `cosB+cosC=4sin^2(A/2)dot` If `a ,b and c ,` denote the length of the sides of the triangle opposite to the angles `A , B ,a n dC` , respectively, then
(a)`b+c=4a`
(b) `b+c=2a`
(c)the locus of point `A` is an ellipse
(d)the locus of point `A` is a pair of straight lines

A

b+c= 4a

B

b+c=2a

C

locus of A is an ellipse

D

locus of point A is a pair of Straight lines.

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MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
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  2. The line passing through the extremity A of the major axis and extremi...

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  3. A triangle A B C with fixed base B C , the vertex A moves such that co...

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  4. The normal at a point P, on the ellipse x^2+4y^2=16 meets the x-axis a...

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  5. The locus of the orthocentre of the triangle formed by the lines : (1 ...

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  6. An ellipse intersects the hyperbola 2x^2- 2y^2 = 1 orthogonally. The e...

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  7. The lines p(p^(2)+1)x-y+q=0 and (p^(2)+1)^(2)x+(p^(2)+1)y+2q = 0 are ...

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  8. If P and Q are the points of intersection of the circles x^(2)+y^(2)+3...

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  9. The ellipse x^2+ 4y^2 = 4 is inscribed is a rectangle alligned with th...

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  10. The Line L given by (x)/(5) + (y)/(b) =1 passes through the point (13,...

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  11. The circle x^(2)+y^(2d)=4x+8y+5 intersects the line 3x-4y=m at two dis...

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  12. If two tangents drawn from a point P to the parabola y2 = 4x are at ri...

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  13. Let A and B be two distinct points on the parabola y^2=4x. If the axis...

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  14. A straight line L through the point (3,-2) is incined at an angle 60^...

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  15. The lines x + y =|a| and ax-y= 1 intersect each other in the first qua...

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  16. If A (2, -3) and B (-2, 1) are two vertices of a triangle and third ve...

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  17. The two circles x^2+""y^2=""a x and x^2+""y^2=""c^2(c"">""0) touch eac...

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  18. The circle passing through the point (-1,0) and touching the Y-axis at...

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  19. Find the equation of the circle passing through (1,0) and (0,1) and h...

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  20. Let (x,y) be any point on the parabola y^2= 4x . Let P be the point th...

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