Let and be real numbers

MATHEMATICS · Single correct · CBSE · Mathematics · Straight Lines · Straight Lines

Problem

Let kk and pp be real numbers. The line kx−4y+1=0kx - 4y + 1 = 0 is parallel to 2x+3y−5=02x + 3y - 5 = 0 and simultaneously perpendicular to 3x+py+4=03x + py + 4 = 0. Which ordered pair (k,p)(k,p) satisfies both conditions? (a) (−83,2)\left(-\dfrac{8}{3},2\right) (b) (83,2)\left(\dfrac{8}{3},2\right) (c) (−83,−2)\left(-\dfrac{8}{3},-2\right) (d) (83,−2)\left(\dfrac{8}{3},-2\right)

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