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Let P Q R be a right-angled isosceles t...

Let `P Q R` be a right-angled isosceles triangle, right angled at `P(2,1)dot` If the equation of the line `Q R` is `2x+y=3` , then the equation representing the pair of lines `P Q` and `P R` is (a) `3x^2-3y^2+8x y+20 x+10 y+25=0` (b) `3x^2-3y^2+8x y-20 x-10 y+25=0` (c) `3x^2-3y^2+8x y+10 x+15 y+20=0` (d) `3x^2-3y^2-8x y-15 y-20=0`

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Let P Q R be a right-angled isosceles triangle, right angled at P(2,1)dot If the equation of the line Q R is 2x+y=3 , then the equation representing the pair of lines P Q and P R is 3x^2-3y^2+8x y+20 x+10 y+25=0 3x^2-3y^2+8x y-20 x-10 y+25=0 3x^2-3y^2+8x y+10 x+15 y+20=0 3x^2-3y^2-8x y-15 y-20=0

The equation of the line with gradient -3/2 which is concurrent with the lines 4x+3y-7=0 and 8x+5y-1=0

The equation of the circle of radius 5 in the first quadrant which touches the x-axis and the line 3x-4y=0 is x^2+y^2-24 x-y-25=0 x^2+y^2-30 x-10 y+225=0 x^2+y^2-16 x-18 y-64=0 x^2+y^2-20 x-12 y+144=0

The equation of the circle which inscribes a suqre whose two diagonally opposite vertices are (4, 2) and (2, 6) respectively is : (A) x^2 + y^2 + 4x - 6y + 10 = 0 (B) x^2 + y^2 - 6x - 8y + 20 = 0 (C) x^2 + y^2 - 6x + 8y + 25 = 0 (D) x^2 + y^2 + 6x + 8y + 15 = 0

If the pairs of lines x^2+2x y+a y^2=0 and a x^2+2x y+y^2=0 have exactly one line in common, then the joint equation of the other two lines is given by (1) 3x^2+8x y-3y^2=0 (2) 3x^2+10 x y+3y^2=0 (3) y^2+2x y-3x^2=0 (4) x^2+2x y-3y^2=0

The equation of the parabola with focus (0,0) and directrix x+y=4 is a. x^2+y^2-2x y+8x+8y-16=0 b. x^2+y^2+8x+8y-16=0 c. x^2+y^2-2x y+8x+8y=0 d. x^2-y^2+8x+8y-16=0

if the line 4x +3y +1=0 meets the parabola y^2=8x then the mid point of the chord is

If the pairs of lines x^2+2x y+a y^2=0 and a x^2+2x y+y^2=0 have exactly one line in common, then the joint equation of the other two lines is given by 3x^2+8x y-3y^2=0 3x^2+10 x y+3y^2=0 y^2+2x y-3x^2=0 x^2+2x y-3y^2=0

The equation of the circle passing through the point of intersection of the circles x^2+y^2-4x-2y=8 and x^2+y^2-2x-4y=8 and the point (-1,4) is (a) x^2+y^2+4x+4y-8=0 (b) x^2+y^2-3x+4y+8=0 (c) x^2+y^2+x+y=0 (d) x^2+y^2-3x-3y-8=0

If the equation p x^2+(2-q)x y+3y^2-6q x+30 y+6q=0 represents a circle, then find the values of p and q .

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
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  2. The sides of a triangle have the combined equation x^2-3y^2-2x y+8y-4=...

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  3. Let P Q R be a right-angled isosceles triangle, right angled at P(2,1...

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  5. Find the equation of the bisectors of the angles between the lines ...

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  6. If theta is the angle between the lines given by the equation 6x^2+5x ...

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  7. The distance of a point (x1, y1) from two straight lines which pass th...

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  8. Prove that the product of the perpendiculars from (alpha,beta) to the ...

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  9. Find the area enclosed by the graph of x^2y^2-9x^2-25 y^2+225=0.

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  10. Show that the pairs of straight lines 2x^2+6x y+y^2=0 and 4x^2+18 x y+...

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  12. Find the angle between the straight lines joining the origin to the ...

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  13. Through a point A on the x-axis, a straight line is drawn parallel to ...

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  14. Find the lines whose combined equation is 6x^2+5x y-4y^2+7x+13 y-3=0

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  16. Find the value of lambda if 2x^2+7x y+3y^2+8x+14 y+lambda=0 represen...

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