1.

Find the angle of intersection of the following curves:(i) y2 = x and x2 = y [NCERT EXEMPLAR](ii) y = x2 and x2 + y2 = 20(iii) 2y2 = x3 and y2 = 32x(iv) x2 + y2 − 4x − 1 = 0 and x2 + y2 − 2y − 9 = 0(v) x2a2+y2b2=1 and x2 + y2 = ab(vi) x2 + 4y2 = 8 and x2 − 2y2 = 2(vii) x2 = 27y and y2 = 8x(viii) x2 + y2 = 2x and y2 = x(ix) y = 4 − x2 and y = x2 [NCERT EXEMPLAR]

Answer» Find the angle of intersection of the following curves:



(i) y2 = x and x2 = y [NCERT EXEMPLAR]

(ii) y = x2 and x2 + y2 = 20

(iii) 2y2 = x3 and y2 = 32x

(iv) x2 + y2 − 4x − 1 = 0 and x2 + y2 − 2y − 9 = 0

(v) x2a2+y2b2=1 and x2 + y2 = ab

(vi) x2 + 4y2 = 8 and x2 − 2y2 = 2

(vii) x2 = 27y and y2 = 8x

(viii) x2 + y2 = 2x and y2 = x

(ix) y = 4 x2 and y = x2 [NCERT EXEMPLAR]


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