NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 2: PolynomialsExercise 2.3
Class 10 - Mathematics - CHAPTER 2: Polynomials
Question. 1
Find the zeroes of \(4x^2-3x-1\) by factorisation and verify relations.
Answer:
\(x=1,\; x=-\dfrac{1}{4}\)
Open
Question. 2
Find the zeroes of \(3x^2+4x-4\) and verify relations.
Answer:
\(x=\dfrac{2}{3},\; x=-2\)
Open
Question. 3
Find the zeroes of \(5t^2+12t+7\) and verify relations.
Answer:
\(t=-1,\; t=-\dfrac{7}{5}\)
Open
Question. 4
Find the zeroes of \(t^3-2t^2-15t\) and verify relations.
Answer:
\(t=0,\; t=5,\; t=-3\)
Open
Question. 5
Find the zeroes of \(2x^2+\dfrac{7}{2}x+\dfrac{3}{4}\) and verify relations.
Answer:
\(x=-\dfrac{1}{4},\; x=-\dfrac{3}{2}\)
Open
Question. 6
Find the zeroes of \(4x^2+5\sqrt{2}x-3\) and verify relations.
Answer:
\(x=\dfrac{\sqrt{2}}{4},\; x=-\dfrac{3\sqrt{2}}{2}\)
Open
Question. 7
Find the zeroes of \(2s^2-(1+2\sqrt{2})s+\sqrt{2}\) and verify relations.
Answer:
\(s=\dfrac{1}{2},\; s=\sqrt{2}\)
Open
Question. 8
Find the zeroes of \(v^2+4\sqrt{3}v-15\) and verify relations.
Answer:
\(v=\sqrt{3},\; v=-5\sqrt{3}\)
Open
Question. 9
Find the zeroes of \(y^2+\dfrac{\sqrt{3}}{2}y-5\) and verify relations.
Answer:
\(y=\dfrac{-\sqrt{3}+\sqrt{83}}{4},\; y=\dfrac{-\sqrt{3}-\sqrt{83}}{4}\)
Open
Question. 10
Find the zeroes of \(7y^2-\dfrac{11}{3}y-23\) and verify relations.
Answer:
\(y=\dfrac{11+\sqrt{5917}}{42},\; y=\dfrac{11-\sqrt{5917}}{42}\)