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If the ellipsex^2/a^2+y^2/b^2=1passes th...

If the ellipse`x^2/a^2+y^2/b^2=1`passes through the intersecting points of two straight lines 7x + 13y -87=0 and 5x -8y + 7 = 0 and the'length of its latus rectum is`(32sqrt2)/5`then find the value of a and b and also find its eccentricity

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The ellipse x^2/a^2+y^2/b^2=1 passes through the point of intersection of the lines 7x+13y=87and 5x-8y+7=0and the length of its latus rectum is (32sqrt2)/5 units.Find the values of a and b.

The ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 passes through the point of intersection of the lines 7x + 13 y - 87 = 0 and 5x - 8y + 7 = 0 and its length of latus rectum is (32sqrt(2))/(5) , find a and b .

If the hyperbola x^2/a^2-y^2/b^2=1 passes through the interesecting point of two straight lines x=3sqrt5 y and sqrt5x-2y=13 and the length of latus rectum is 4/3 unit,the find the co-ordinate of its focus.

The hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2)) = 1 passes through the point of intersection of the lines 7x + 13y - 87 = 0 and 5x - 8y + 7 = 0 and its latus rectum is (32sqrt(2))/(5) Find a and b.

The hyperbola (x^(2))/(a^(2)) - (y^(2))/(b^(2)) = 1 passes throught the point of intersection of the lines x - 3sqrt(5)y =0 and sqrt(5)x - 2y = 13 and the length of its latus rectum is (4)/(5) . Find the coordinates of its foci.

If the parabola y^(2) = 4 ax passes through the point of intersection of the straight lines 3x + y + 5 = 0 and x + 3y - 1 = 0 , find the coordinates of its focus and the length of its latus rectum .

Prove that, The line 5x + 4y = 0 passes through the point of intersection of straight lines x+2y-10 = 0, 2x + y =-5

The straight line (x)/(a)+(y)/(b)=1 passes throught the point of intersection of the straight lines 7x+9y=3 and 2y-x+7=0 and makes an angle 90^(@) with the straight line 5x-6y+15=0 , find the values of a and b.

If the straight line ax+y+6=0 passes through the point of intersection of the lines x+y+4=0 and 2x+3y+10=0 , find a.

The hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2)) = 1 passes through the point (-3,2) and its eccentricity is sqrt((5)/(3)) , find the length of its latus rectum.

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 3-EXERCISE
  1. Show that the co-efficient of the middle term of the expansion of(1+x)...

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  2. If (y/z)^a.(z/x)^b.(x/y)^c=1and a,b,c are in A.P ,show that x,y,z are ...

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  3. In /\XYZthe equation of the perpendicularbisector of XY and XZ arc x-y...

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  4. Find the distance of the point (3. 5) from the line 2x + 3y = 14measur...

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  5. The end’ points of a rod having length l are moving a long with two st...

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  6. Find the equation of a circle .which passes through (-2. 1) and touche...

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  7. Evaluate:lim(x-0)((e^x-1)log5(1+5x))/(sin^2x)

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  8. Differentiate a^x with respect to x (a> 0) with the help 1st principle...

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  9. ‘I80 is the multiple of 4 or 5 examine the validity of the compound st...

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  10. ‘x is such a real number that 4x^3 + 3x= 0, then x = O’. Find the trut...

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  11. The AM and SD of the marks obtained in the subjects' Bengali, .English...

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  12. If cosalpha=siny/sinx,cosbeta=sinz/sinxand cos(alpha-beta)=siny sinz.S...

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  13. Solve :16^(sin^2x)+16^(cos^2x)=10.[0lexlepi]

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  14. Find the common solution region by. the graphical method.3x+2yle18,x+2...

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  15. Solve :x^2+x/sqrt2+1=0

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  16. Find the sum upto nth term : ,1 + 4 + 13 .+ 40 + ........

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  17. Find the rank of the word MOTHER when its letters are arranged as in a...

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  18. An equilateral triangle inscribe a parabola y^2 = 4ax. such that oneof...

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  19. If the ellipsex^2/a^2+y^2/b^2=1passes through the intersecting points ...

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  20. PQ is the double ordinate of the hyperbola x^2/a^2-y^2/b^2=1 and O is ...

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