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CBSE Class 10 Math 2023 All Sets Solved Paper

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Question : 17 of 20
Marks: +1, -0
The coordinates of the point where the line 2y = 4x + 5 crosses x-axis is
Solution:  
Let point of intersection at x-axis be (x, 0)
Thus y value of point is 0
Substitute y = 0 in equation, 2y=4x+52y = 4x + 5
⇒2(0)=4x+5\Rightarrow 2(0) = 4x + 5
⇒4x+5=0\Rightarrow 4x + 5 = 0
⇒4x=−5\Rightarrow 4x = -5
⇒x=−54\Rightarrow x = \frac{-5}{4}
Thus, coordinates of point is(−54,0)\left(\frac{-5}{4}, 0\right)
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