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

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`

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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 (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

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 tangent to the parabola y^(2)=8x and which is parallel to the line x-y+3=0 is

The equation of common tangent to the parabola y^2 =8x and hyperbola 3x^2 -y^2=3 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

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 (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

Find the centre and the radius of the circles 3x^(2) + 3y^(2) - 8x - 10y + 3 = 0

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. A straight line through the point A (-2,-3) cuts the line x+3y=0 and x...

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  2. Let m ,n are integers with 0ltnltm. A is the point (m ,n) on the Carte...

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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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  4. Equation of straight liens joining the origin and points of interse...

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  5. A B C is a triangle. The coordinates of whose vertices (-2,4),(10 ,-2)...

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  6. If the lines joining the points of intersection of the curve 4x^2+9y+1...

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  7. Let f(x)=(1+b^2)x^2+2b x+1 and let m(b) the minimum value of f(x)dot A...

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  8. If in triangle ABC,A-=(1,10), circumcenter -=(-1//3,2//3), and orthoce...

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  9. If matrix A=[a(ij)](3xx), matrix B=[b(ij)](3xx3), where a(ij)+a(ji)=0 ...

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  10. If m is a positive integer and Dr=|2r-1\ ^m Cr1m^2-1 2^m m+1s in^2(...

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  11. If the lines a x+2y+1=0,b x+3y+1=0a n dc x+4y+1=0 are concurrent, then...

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  12. Equation of circle symmetric to the circle x^(2)+y^(2)+16x -24y +183 =...

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  13. If (x1, y1)&(x2,y2) are the ends of a diameter of a circle such that x...

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  14. The lines L1: x-2y+6=0&L2: x-2y-9=0 are tangents to the same circle. I...

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  15. Find the equations of bi sectors of the angle between the lines 4x + 3...

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  16. Find the equation of the tangent to the circle x^2+y^2+4x-4y+4=0 which...

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  17. about to only mathematics

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  18. Let A=|[1,sintheta,1],[-sintheta,1,sintheta],[-1,-sintheta,1]|, where ...

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  19. Orthocentre of an acute triangle A B C is at the orogin and its circum...

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  20. If A=([a(i j)])(3xx3), such that a(i j)={2,i=j and 0,i!=j ,t h e n1+(...

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