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Equation of a line is 3x-4y+10=0. Find i...

Equation of a line is `3x-4y+10=0`. Find its (i) slope, (ii) x and yintercepts.

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To solve the problem, we need to find the slope, x-intercept, and y-intercept of the line given by the equation \(3x - 4y + 10 = 0\). ### Step 1: Find the slope of the line To find the slope, we need to convert the equation into the slope-intercept form, which is \(y = mx + c\), where \(m\) is the slope. 1. Start with the equation: \[ 3x - 4y + 10 = 0 ...
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NCERT-STRAIGHT LINES-SOLVED EXAMPLES
  1. Find the equation of the line whose perpendicular distance from the or...

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  2. Find the equation of the line, which makes intercepts 3 and 2 on the x...

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  3. Equation of a line is 3x-4y+10=0. Find its (i) slope, (ii) x and yin...

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  4. The Fahrenheit temperature F and absolute temperature K satisfy a lin...

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  5. Find the angle between the lines y-sqrt(3)x-5=0and sqrt(3)y-x+6=0.

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  6. Reduce the equation sqrt(3)x+y-8=0 into normal form. Find the values ...

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  7. Find the equation of a line perpendicular to the line x-2y+3=0and pas...

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  8. Show that two lines a1x+b1y+c1=0and a2x+b2y+c2=0, where b1,b2!=0are : ...

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  9. If the lines 2a + y 3 = 0, 5x + k y 3 = 0and 3x y 2 = 0are concurr...

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  10. Find the distance of the line 4x y = 0 from the point P(4, 1) measur...

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  11. Assuming that straight lines work as the plane mirror for a point, fi...

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  12. Show that the area of the triangle formed by the lines y=m1x+c1,y=m2x...

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  13. A line is such that its segment between the lines 5x-y + 4 = 0and 3x ...

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  14. Show that the path of a moving point such that its distances from two...

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  15. Write the equation of the line through the points (1, 1)and (3, 5).

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  16. Write the equation of the line for which tantheta=1/2,where thetais th...

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  17. Find the equations of the lines parallel to axes and passing through(...

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  18. Find the equation of the line through ( 2, 3)with slope 4.

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  19. Three points P(h ,k),Q(x1,y1)and R(x2,y2)lie on a line. Show that (h-...

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  20. In Figure, time and distance graph of a linear motion is given. Two p...

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